Find a vector a with representation given by the directed line segment AB. A(3, 0, -4), B(3, 4, 4) Draw Ab and the equivalent representation starting at the origin. B(3, 4, 4) В3, 4, 4) A(3, 0, -4) A(3, 0, –4) вз, 4, 4) вз, 4, 4) A(3, 0, -4) A(3, 0, -4)

Q: Give the component form of the vector represented by the directed line segment from (4, 5, 6) to (4,…

A: See this  solution in below

Q: Find a vector å with representation given by the directed line segment AB, for A(0,3,1) and B(2,3, –…

A: We have to find the vector and draw it.

Q: Find a vector a with representation given by the directed line segment AB. A(0, 4, 2), B(4, 4, –1)…

A: Given vectors

Q: If possible, write the vector w as a linear combination of the vectors V₁, V2, ..., Vk. If it is not…

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Q: Write v as a linear combination of u, u2, uz, where (a) v = (4, –9, 2), u = (1,2, –1), uz = (1,4,2),…

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Q: Write the vector (2, –3) as a linear combination of (2, –1), (–1,2) Select one: O 2/5(2, –1) +…

A: We need to find the linear combination of the given vector. NOTE - all the options given are wrong.…

Q: Find a vector a with representation given by the directed line segment E A(0, 3, 2), B(5,3, -5) Draw…

A: We need to find the equation from A(0, 3, 2) and B(5, 3, -5).

Q: Find a vector a with representation given by the directed line segment AB. A(-1, 5), B(2, 4) Draw AB…

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Q: Find the vector PP, 1. Р.(3,2) P, (5,7) 2. P(-2,-1) 3. Р (3,3) P,(4,-5) P, (5,5) 2

A: As per our guidelines we are suppose to solve only first three sub-parts of a question. Kindly…

Q: 8. Write the vector (5,6,0) as a linear combination of the vectors (-1,2,0), (3,1,2), (4,–1,0) and…

A: We have to write the vector (5, 6, 0) as a linear combination of the vectors (-1, 2, 0) , (3, 1, 2),…

Q: Find the vector P,P2 and P2P1 P:(3.2,3) , Р.(5,7,-1) b- P1(-2,-1,0), P2(4,-5,2) a - P1(0,3,3),…

A: We can solve the given problem as follows:

Q: Find a vector a with representation given by the directed → line segment AB, where A(−5, 0, 1) and…

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Q: Find the projection of ū = (2, -3, 1) onto v = = (-3, 0, 1) %3D 3 0, А. B. (3.0. -1) В.

A: u→ =2, -3, 1v→ =-3, 0, 1v→ =(-3)2+02 +12       =9+1|v→| =10    u→  · v→ =2, -3, 1·-3, 0, 1u→  · v→ =…

Q: write v as a linear combination of u,, u„ and u̟, if possible. Uz3 47. v = (10, 1, 4), u, = (2, 3,…

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Q: Use vectors to show that the points form the vertices of a parallelogram. (2, 9, 1), (3, 11, 4), (0,…

A: Given: A=(2,9,1) ,B=(3,11,4),C=(0,10,2),(1,12,5) To Show: Given points form the vertices of a…

Q: Find a vector a with representation given by the directed line segment AB, where A(-4, 0, 1) and…

A: A=-401,  B=18-1 the vector a is given by  a=B-A

Q: If possible, write the vector w as a linear combination of the vectors V₁, V2, ..., Vk. If it is not…

A: a) Given:     w=1,1,5, v1=7,7,7      v2=2,5,3, v3=4,1,-1 w=i^+j^+5k^, v1=7i^+7j^+7k^…

Q: Given the vectors u = (7,1,16), v = (- 1,2,2) and w = (3, -1,4) we can affirm that:   a) u=-2v-3w…

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Q: 8. Consider the vectors [11, 2, 0, 1, 0, 2], [0, 1, 1, 2, 1, 2], [2, 1, 2, 1, 1, 1]); [0, 1, 1, 1,…

A: Remark: If no column (row) of a matrix can be written as linear combination of other columns (rows)…

Q: Which of the following set of vectors Span ? [{1,-1,2),(0,1,1)] [{1,2,-1),(6,3,0),(4,-1,2),(2,-5,4)]

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Q: Find a vector a with representation given by the directed line segment AB. A(-4, -2), В(2, 5) Draw…

A: A vector from point A (x1,y1), to point B (x2,y2) is given by AB =(x2-x1)I +(y2-y1)j

Q: 1- Find the direction of the vector with initial point P(-3,4,1) and terminal point Q(-5,2,2).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find a vector a with representation given by the directed line segment AB, where A(−5, 0, 1) and…

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Q: Given the vector u = (4, 1, -6) and a = (1, O, 5). The orthogonal projection of u on a (projau ) is…

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Q: Find all the planes parallel to the plane passing through the points(1, 2, 3), (1, 2, 7), and (1, 1,…

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Q: A plane through the three points P = (4, -3, 5), Q = (-2, -3, 5), and R= (-2, 3, -3) is described by…

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Q: Find a vector å with representation given by the directed line segment AB, for A(-1, 1) and B(3, 2).…

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Q: 1. Find the sum of the vectors (3,-1) and (-1,5) and illustrate geometrically.

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Q: A rocket is equipped with a propulsion system consisting of three thrusters. Each of the thrusters…

A: This is a problem from vector space so I used various operation such as row reduction to solve the…

Q: Three edges of a right triangular prism are defined by the vectors à= [1, 3, 2], b=[2, 2, 4), and =…

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Q: Use a directed line segment to represent the vector.v = (−2, −5)

A: Let the given vector : Here, -2 represents x-cordinate and -5 represents y-cordinate.

Q: How many Linearly Independent vectors in the set {(1, 1, 1, 2), (1, -1, 2, 3), (3, 1, 4, 7), (2, 2,…

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Q: 3) Find the plane through the points: A(2, 4, 5), B(1, 5, 7) and C(-1, 6, 8)?

A: Let the given points are:

Q: 4 2. Decide whether the vectors (1, 2,0,-1], [2, 6, -3, -3], [3, 10, -6,-5] are linearly…

A: Given vectors are ,  [ 1,2,0,-1 ] ,  [ 2,6,-3,-3 ] ,  [ 3 ,10 ,-6 ,-5 ]  (.)  The given vectors are…

Q: Find the length of the vector x = [-2, 2, 6 ]

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Q: ( ) Find the point of intersection of the plane passing through the points P(0,-2,-6) P(-1,1,5) and…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find a vector a with representation given by the directed line segment AB. A(-1, 4), B(1, 5) Draw AB…

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Q: Calculate the distance from point B=(−1,3,−1) to the plane that passes through point A=(3,2,−1) and…

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Q: 1. Find the plane through the points A(1,2,-), B(4,2,-2) and 4' C(2,3,4)?

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Q: Write v as a linear combination of u,, u2, and uz, if possible. (If not possible, enter IMPOSSIBLE.)…

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Q: For the vectors u = (-2,2, -1) and v (-2,1, 3), expressu as the sum u =p n, where p is parallel to v…

A: To find the orthogonal decomposition of the vector u along and perpendicular to v

Q: 8. Consider the vectors [11, 2, 0, 1,0, 2], [0, 1, 1, 2, 1, 2], [2, 1, 2, 1, 1, 1]; [0, 1, 1, 1, 1,…

A: We will reduce the matrix to see that any row can be made zero or all remain zero after operating.

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, 0, -2), (2, 3, 4) is

A: We will solve the problem

Q: Suppose that v1=(2,1,0,3), v2=(3, 1,5,2), v3 = (-1,0,2,1) ar column vectors temporarily lying down…

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Q: Find orthogonal projection of v=(3, 1, -2) in the direction of u=(-1, 2, 5).

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Q: The set of vectors {(1,1,0,0),(0,-1,0,0),(0,0,1,1),(1,0,1,1)} is linearly dependent. What is a valid…

A: The set of vectors {(1,1,0,0),(0,-1,0,0),(0,0,1,1),(1,0,1,1)} is linearly dependent

Q: Find A', the image of A(3, 5), after a translation with vector . Group of answer choices (10, 1)…

A: calculate the horizontal shift -7-3=-10 The sign is negative therefore,the image will shift to the…

Q: Find a vector a with representation given by the directed line segment AB. А(О, 3, 2), в(1, з, -5)…

A: Consider the given line segment AB→. A(0,3,2) and B(1,3,-5). Let AB→ be  a vector from A to B and…

Q: Find a vector a with representation given by the directed line segmer (-6,0, 3) and B(1,8, –1).

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