complete the following proof that -u is the unique vector in v such that u (-u) = 0.

Answers

Answer 1

To prove that -u is the unique vector in v such that u (-u) = 0, we need to demonstrate two things: (1) that -u satisfies the given condition, and (2) that there is no other vector in v that satisfies the condition.

First, let's show that -u satisfies the condition. We have u (-u) = -u u = -||u||^2. Since -||u||^2 is equal to 0 if and only if ||u|| = 0, we can conclude that -u satisfies the condition.Now, let's prove that -u is the unique vector in v that satisfies the condition. Suppose there exists another vector x in v such that u x = 0. Since u (-u) = 0, we can subtract this equation from u x = 0 to get u (x - (-u)) = 0.

Simplifying, we have u (x + u) = 0. This implies that the dot product of u and (x + u) is 0. However, the dot product of two vectors is 0 if and only if the vectors are orthogonal. Since u and (x + u) are not orthogonal, we reach a contradiction. Hence, we have proven that -u is the unique vector in v such that u (-u) = 0.

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Related Questions

Sculpture that projects only a small distance from a surface is know as a __________ sculpture.

Answers

Sculpture that projects only a small distance from a surface is known as a relief sculpture.

Relief sculptures that venture handiest a small distance from their base, low comfort sculptures. Those that undertake via at least half of their intensity are known as excessive alleviation sculptures.

The four traditional materials for creating a sculpture were

stone carving, bronze casting, wood carving, clay firing.

While the photograph is best slightly raised, as with a coin, the sculpture is known as low remedy or bas-alleviation. The historic Egyptians occasionally carved figures right into a flat floor. This kind of carving is referred to as a sunken remedy. ​

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The Czech scene designer _____ developed a number of techniques in stage design with screens and projections, sometimes in conjunction with the actors, such as in laterna magika.

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The Czech scene designer Josef Svoboda developed a number of techniques in stage design with screens and projections, sometimes in conjunction with the actors, such as in laterna magika.

Who is Josef Svoboda?In 1948, Josef Svoboda was appointed the principal designer for the Czech National Theatre, a position he held for more than 30 years. His multimedia installations Laterna Magika and Polyekran, created for Expo 58 in Brussels with director Alfréd Radok and his brother Emil, helped him gain international recognition. The use of both live actors and projected images was first seen in these productions. Svoboda is also in charge of incorporating contemporary materials and technologies into his designs, such as plastics, hydraulics, and lasers. One of Svoboda's most well-known special effects, a three-dimensional pillar of light, was produced in 1967. An aerosol combination that showed low-voltage lighting was used to make this.

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What was the area of western belgium, southwestern netherlands, and a small part of northern france called in the fifteenth century?

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Flanders was the area of western Belgium, southwestern Netherlands, and a small part of northern France called in the fifteenth century.

The Flemish location of Belgium (or Flanders) is a Dutch-talking area inside the country's north and is considered one of three Belgian regions. The country-wide capital, Brussels, considered it's very own region, lies close to Flanders’ southern side. Antwerp is a port metropolis and an important diamond alternate center with popularity for a fashion layout. Its Royal Museum of Fine Arts has a big collection of artwork by way of Flemish masters.

For the duration of the late middle ages, Flanders' buying and selling towns (notably Ghent, Bruges, and Ypres) all over again made it one of the richest and most urbanized components of Europe, weaving the wool of neighboring lands into material for both domestic use and export.

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The public form of play analysis following a production is called

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Production is called. dramatic criticism

Identify the chord as half-diminished,
fully diminished, or neither.

Answers

Answer: FULLY DIMINISHED!!!

Explanation:

From F# to A is 3m, from A to C is 3m and from C to Eb is 3m

Known as this during the filming of the pilot episodes, what was the original name of the 1970s tv show the brady bunch?.

Answers

The original name of the 1970s tv show The Brady Bunch was The Brady Bunch Hour

What is The Brady Bunch Hour?The Brady Bunch Hour is a TV program produced in the United States by Sid & Marty Productions in collaboration with Paramount Television. It features skits and songs. From November 28, 1976, through May 25, 1977, it was telecasted on ABC.Except for Eve, who was replaced by Geri , the Brady Bunch's original cast members starred in the series.On November 28, 1976, a 60-minute special named The Brady Bunch Variety Hour marked the start of the program. The special was well-received and inspired the production of eight more 60-minute episodes, which were released and shown irregularly from January 23 to May 25, 1977, as The Brady Bunch Hour.Mike Brady puts up his work as an architect and relocates his family to a beachside home somewhere in Southern California when the family is selected to star in a new variety series .Along with the Brady family, the Brady's maid, Alice, was interest in Jack Merrill , the neighbor who lives next door (her former friend, Sam, is never mentioned).In addition to the variety, they showed light comedy, song, and  dance, each episode also includes a behind-the-scenes story that takes place in the Brady's house.

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The positioning of the body and all of its parts throughout the course of a play is referred to as.

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The positioning of the body and all of its parts throughout the course of a play is referred to as posture.

What is a posture?

In English literature, a posture can be defined as the position of a character's body and all of his or her body parts during the course of a play.

This ultimately implies that, the positioning of the body and all of its parts by a character, throughout the course of a play is referred to as posture.

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A symphony:______.
a. is a work written for an orchestra.
b. is a multimovement work.
c. was a new genre of the classical era.
d. all possible answers.

Answers

A symphony is a multimovement work that is written for an orchestra and was new genre of the classical era. Therefore, the answer is: d. all possible answers.

What is a Symphony?

A symphony can be defined as a written form of musical composition that is lengthy in form and made for an orchestra. It can also be described as an extended musical composition that is common in Western classical music.

The types of movements in a symphony include the following:

I. Allegro, which is called the the Fast Movement

II. Andante/Adagio, also referred to as the Slow Movement

III. Scherzo/Minuet, known as the Dance Number

IV. A Fast Movement.

In conclusion, we can say that a symphony is a multimovement work that is written for an orchestra and was new genre of the classical era. So the answer is: d. all possible answers.

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The design system for the nineteenth olympiad in mexico city resulted from research on ________.

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The design system for the nineteenth Olympiad in Mexico city resulted from research on Mexican Cultural Heritage

The emblem of the nineteenth Olympiad combines the year with the five Olympic rings. Pedro Ramirez Vazquez, an architect and the head of the organising committee for the games, Eduardo Terrazas (from Mexico), and Lance Wyman collaborated on the design (USA). It brings to mind the Huichol, a Mexican Indigenous people.

Three artists worked together to create the series of posters for these Games: Lance Wyman (USA), who created the "Mexico 68" emblem, Eduardo Terrazas (MEX), who is an architect and the president of the organising committee for the games, and Pedro Ramirez Vazquez. They later improved it to produce the poster in black and white that is reminiscent of Huichol designs.

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animal farm Picture Collage

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Answer:

what do you mean

if you are looking for a picture check on g o o gle

Previously referred to as color-blind casting, the casting of performers without considering their ethnicity, gender, transgender identity, or disability is now more inclusively called?

Answers

The casting of performers without considering their ethnicity, gender, transgender identity, or disability is now more inclusively called: "Nontraditional Casting". It was formerly known as color-blind casting.

What is the benefit of color-blind casting?

Color blind casting is advantageous because:

It is more inclusiveIt is non-prejudicialIt gives opportunities to all persons regardless of their ethnics orientationIt allows the world to enjoy the wealth of talents moreIt is crucial to note that color blind casting is a terminology that is more relevant in the expressive arts such as: Théâtre andDrama.

What is the history behind color-blind casting?

It used to be the norm that the color or ethnic orientation of an American Actor would be a strong factor where the decision was being made with regard to whether or not they were fit for the role rather than their ability to interpret the story and the characters accordingly.

Seeing that this was a form of racism, voices grew louder that spoke out against such practice.

Today, the practice of relegating color and ethnic orientation to the background is now common place as is exemplified in a 2019 adaptation of Charles Dicken' The Personal History of David Copperfield where in Dev Patel - an Anglo-Indian actor was casted a White.

This emerging trend is what is referred to as non-traditional casting.

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The insistent bass in the last movement of william grant still’s suite for violin and piano resembles which jazz piano style?

Answers

Answer: Throughout the Suite, William Grant Still is bringing elements of popular music, blues figures and syncopated rhythms, to the salon. Each movement, based on three different artists with three very different styles, brings us the classical three-movement Fast-Slow-Fast tempo changes, but in a very modern manner

Explanation:

The most important development in art music during the late 1940s and 1950s was the increasing importance of:

Answers

In the late 1940s and 1950s, electronic music gained importance.

The greatest change in music between the Romantic period and the early modern period was harmony. Early 20th-century composers wanted their music to sound different from that of previous generations, while Romantic composers pushed the boundaries of sonic harmony wherever possible. I understand.

Strings have lost their role as the heart of the orchestra. The melodic element in 20th-century music is best characterized by large leaps and dissonant intervals.

One of the most important developments in 20th-century classical music was the effective resolution of tonality. The entire tonal system that dominated the musical world since the late Renaissance was eventually abandoned by many composers in favor of the so-called "Serial music".

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Drag the labels to the appropriate locations on this diagram of an arthropod. Not all labels will be used.

Answers

The parts of the arthropod in the attached image is give below.

a). Sensory organ

b). Exoskeleton

c). Jointed appendage

d). Abdomen

e). Thorax

f). Head

What is an arthropod?

An Arthropod is any of a phylum (Arthropoda) of invertebrate organisms with a fragmented body and jointed limbs, a chitinous exoskeleton that molts at intervals, and a dorsal anterior brain coupled to a ventral chain of ganglia.

The example in this case is a Grasshopper.

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Please help answer

In this work, Willem de Kooning sought to paint a woman without the limitations of an exterior. Why did he choose to do this? Do you feel that he was successful in his approach? What changes do you think would be beneficial when painting this subject?

Answers

He chose to paint a woman without the limitations of an exterior to instituting an abstract approach to his work.

Who is Willem de Kooning?

He was a Dutch-American painter that was famous in Abstract Expressionism, which is known as as Action painting.

Do you feel that he was successful in his approach?

He chose to apply abstract art in his painting "Woman" because he considered art as a way to exercise his creativity and break the pre-established standards of beauty in art.

What changes do you think would be beneficial when painting this subject?

I do not consider that changes should be made to Kooning's painting, as there is no correct way to develop a work of art, being a unique expression of the artist.

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True or false: Beethoven believed he was at the same level as the aristocracy and deserved to be treated equally.

Answers

Answer:

true

Explanation:

A design concept primarily concerned with creating a mood and space for actors is:_____.

Answers

A design concept primarily concerned with creating a mood and space for actors is scenic design.

A design is a plan or specification for building an object or system, or a plan or specification for implementing an activity or process, or the result of that plan or specification in the form of a prototype, product, or process. .

The verb design describes the process of making a design outline, sketch, or plan, such as the shape or structure of a work of art, building, or a machine to be performed or constructed. The composition or structure of formal elements in a work of art.

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The presence of velázquez’s self-portrait in las meninas indicates that the painter ________.

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The presence of velázquez’s self-portrait in las Meninas indicates that the painter wanted the artist to be of high status

The title of the painting, "Las Meninas", means "Ladies of the Court" in Spanish. There is speculation as to why Velázquez titled the painting after these seemingly insignificant figures, when the regal figures of the King, Queen, and Infanta all feature in this busy painting.

Velázquez uses linear perspective to create depth and space in Las Her Meninas. A black frame on the right wall and hooks on the ceiling direct the viewer's gaze to the vanishing point. A mirror reflecting the king and queen suggests that space continues beyond the painting.

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What method of sculpture is the artist using when they assemble component parts in order to create an artwork?

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The construction method of sculpture is the artist using when they assemble component parts in order to create an artwork.

Artists use a variety of materials in their work. Some people use paint or pencils, while others make dimensional art. These pieces are known as sculptures.

When putting together individual pieces to make an artwork, an artist uses the sculpture construction process. By assembling together prefabricated bits of material, a built or assembled sculpture is created. It is fundamentally different from sculpture that has been carved or modelled since they are both made of a homogenous mass of material.

Sculpting by assembling involves using a range of materials of any sort to create a artwork. These materials can include items, wood, paper, and metal.

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Many early rock and roll songs were based on:

Answers

Answer:

Rhythm and blues

Explanation:

The positive response of music critics as well as the negative response from people like bell hooks to beyoncé’s lemonade is an example of which model?

Answers

The positive response of music critics as well as the negative response from people like bell hooks to beyoncé’s lemonade is an example of encoding/decoding model.

What is The Encoding/decoding model of communication?

Encoding/decoding model of communication  can be described as the model that was developed by cultural studies scholar Stuart Hall in 1973.

The Encoding and Decoding  is very famous in  Television Discourse', Hall's essay which offers  theoretical approach of how media messages are produced as well as been , disseminated, and interpreted.

It should be noted that  The positive response of music critics as well as the negative response from people like bell hooks to beyoncé’s lemonade is an example of encoding/decoding model.

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What is the primary goal of Motivational Interviewing? To guide someone toward external motivators To help someone uncover their personal motivations To help someone understand the triggers that lead to unhealthy and undesirable behavior To give someone the answers to resolve their unwanted behaviors

Answers

The primary goal of Motivational Interviewing is: D. To give someone the answers to resolve their unwanted behaviors.

What is Motivational Interviewing?

Motivational interviewing  is an interview conducted so as to encourage a person and to motivate a person in such a way that can help to facilitate change or to bring about positive changes in the life of the person.

The  purpose of Motivational Interviewing is to give a person or an individual the answers to resolve undesirable behaviors or unwanted  behaviors.

Therefore the correct option is D.

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The artist Man Ray invented a new kind of photograph called a _____________. negative daguerreotype digital rayograph

Answers

the answer is “Rayographs”
hope this helps!

Please answer

List two artists who felt that it was important to make use of recognizable subject matter. List two artists who did not share this conviction.

Answers

Rod wave,ynw melly, yeat,play ou carti

The German Artist Max Ernst and French painter André Masson felt that it was important to make use of recognizable subject matter and those did not share this conviction are American writer Edgar Allan Poe and German composer Johannes Brahms.

What is surrealism in arts?

Surrealism targets to revolutionise human experience. It maintains a rational vision of life with one that affirms the power of the unconscious and dreams. The movement's artists find magic and strange beauty in the unexpected and the uncanny, the disregarded and the unconventional.

Therefore, those that felt that it was important to make use of recognizable subject matter are surrealists. Hence, the answer.

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In giotto’s fourteenth-century painting lamentation, seams can clearly be seen that break the blue sky into numerous sections. this occurred because of the ___________.

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In the particular fourteenth-century painting lamentation by Giotto, the seams can be clearly seen that break the blue sky into numerous sections, which occurred because of the limitations of fresco.

An example of a wall painting is a fresco. Because plaster is placed to the walls while still wet, the name is derived from the Italian word for fresh. Buon fresco and fresco a secco are the two techniques used in fresco painting. Layers of fine plaster are applied on the wall surface for both processes.

Fresco is a style of mural painting that is used to create large, frequently stunning works on plaster. The Michelangelo ceiling in the Sistine Chapel is among the most well-known examples.

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Question 10 of 15
The Great Pyramid of Giza is located in:
A. Egypt.
B. Crete.
C. India.
D. Greece.
SI

Answers

Answer:

A. Egypt

The Great Pyramid of Giza is located in Egypt

This excerpt is most likely from a... Play Play Discover Music player play stop mute max volume 00:0004:27 No audio loaded. Select one: Troubadour song Liturgical drama Madrigal Gregorian chant

Answers

The excerpt that is demonstrated here is most likely to be from a Gregorian chant.

What is a Gregorian chant?

This is the term that is used to refer to the musical lyrics that is from a church which is made up of just one line of vocals and also have a restricted scale. This style was developed during the medieval liturgy period in the European continent.

This type of music is monophonic and a plainchant in nature. It is a sacred song that is used in the Roman Catholic church during their mass.

The scripts from which the song is gotten from is mostly from the scripture. It is named after Gregory the first.

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In an environment of experimentation and spirited camaraderie, _________, the first _________ jazz style, was born. It changed jazz from popular dance music to intellectual art music.

Answers

Answer:

bepop, modern

Explanation:

Bebop developed as the younger generation of jazz musicians expanded the creative possibilities of jazz beyond the popular, dance-oriented swing music-style with a new "musician's music" that was not as danceable and demanded close listening. As bebop was not intended for dancing, it enabled the musicians to play at faster tempos. Bebop musicians explored advanced harmonies, complex syncopation, altered chords, extended chords, chord substitutions, asymmetrical phrasing, and intricate melodies. Bebop groups used rhythm sections in a way that expanded their role. Whereas the key ensemble of the swing music era was the big band of up to fourteen pieces playing in an ensemble-based style, the classic bebop group was a small combo that consisted of saxophone (alto or tenor), trumpet, piano, guitar, double bass, and drums playing music in which the ensemble played a supportive role for soloists. Rather than play heavily arranged music, bebop musicians typically played the melody of a composition (called the "head") with the accompaniment of the rhythm section, followed by a section in which each of the performers improvised a solo, then returned to the melody at the end of the composition.

Some of the most influential bebop artists, who were typically composer-performers, are: alto sax player Charlie Parker; tenor sax players Dexter Gordon, Sonny Rollins, and James Moody; clarinet player Buddy DeFranco; trumpeters Fats Navarro, Clifford Brown, Miles Davis, and Dizzy Gillespie; pianists Bud Powell and Thelonious Monk; electric guitarist Charlie Christian; and drummers Kenny Clarke, Max Roach, and Art Blakey.

How are the third movements of beethoven's symphonies and string quartets different from traditional third movements?

Answers

The classical era's string quartet compositions followed the same structure of movements as symphonies, albeit occasionally the minuet and trio served as the second movement and the slow movement as the third.

The string quartet is another well-known instrumental style that dates back to the Classical era. The most common form of chamber music throughout the Classical era was the string quartet, which is always composed for the same four instruments: two violins, one viola, and one cello. Haydn, like the Symphony, is essential in bringing the genre to the prominence it attained in the 18th century and beyond. In classical music composition, the minuet and trio is a common form. It frequently appears as the third movement of symphonies and string quartets and has been used widely in Mozart and Beethoven's and other composers' keyboard compositions.

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The answer should be, "They often feature a scherzo rather than a traditional minuet."

Explanation: I am doing the assignment right now.

Hi can someone please help answer :)??

1. List two artists who felt that it was important to make use of recognizable subject matter. List two artists who did not share this conviction.

2. Match the following terms with their appropriate descriptions.

a. drawing on inspiration from dreams and the subconscious
b. criticized traditional art forms
c. inspired by scenes from sections of America
d. portrayed images from popular culture

pop art
regionalism
dada
surrealism

Answers

Majority of the pre-2000s artist most notably Andy Warhol and Roy Lichtenstein felt that it was important to make use of recognizable subject matter.

However, the artists who did not share the conviction are Jean Stein and George Plimpton.

What is a subject matter?

This refers to the main idea presented in a piece of art that is usually an idea taken from the mind of the artist and translated into a visual form.

Appropriate descriptions of the items:

Surrealism:

a. drawing on inspiration from dreams and the subconscious.

Regionalism:

c. inspired by scenes from sections of America.

Dada:

b. criticized traditional art forms.

Pop art:

d. portrayed images from popular culture.

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