23 and 24 Determine whether the given vectors are orthogonal, parallel, or neither. 23. a. a = (9, 3), b= (-2,6) Answer + b. a = (4, 5, -2), b= (3, -1, 5) Answer + C. a = -8i+ 12j+ 4k, b= 6i – 9j – 3k Answer +

Q: Find 2u, -3v, u + v, and 3u – 4v for the given vectors u and v. u = (-8, 9), (8, -9) v = 2u = -3v =…

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Q: Find 2u, -3v, u + v, and 3u – 4v for the given vectors u and v. u = (6, 2), v = (4, 7) 2u = -3v = u…

A: In this question its given that the value of u=(6,2) and  v=(4,7) Therefore u and v can be written…

Q: Find

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Q: 4. Prove that the vectors a= (1,1,1); b-(1,-1,0) and e-(-1,-1.2) are orthogonal to each other! 5.…

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Q: Find the initial point of the vector that is equivalent to u = (2, 2, 4) and whose terminal point is…

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Q: For what value of k are the vectors u = Select one alternative: Ok = -2 k = -1 Ok=2 Ok = 1 (1,-1,-1)…

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Q: Let A = (3,-5,0), B = (-4, –4, 2), and P = (k, k, k) be three points. Find the value k such that AB…

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Q: Which of the following vectors is not parallel to v = (4, -2, 1). Choose all that apply. %3D O (8,…

A: We know that a vector a is parallel to vector b if a can be expressed as scalar multiple of b. Given…

Q: Suppose ū = (2, 2) and ī = (8, –4) are two vectors that form the sides of a parallelogram. Then the…

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Q: 4. 5. Find the dot product of u =(5,10) and v= (19,-9) 3. Are the vectors u = (12,-3) and v=…

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Q: 4. Find a vector that points in the opposite direction as ā =(-3,-14,2) with a magnitude of 32. 5.…

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Q: Suppose u (2, -2) and = (6,2) are two vectors that form the sides of a parallelogram. Then the…

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Q: Which of the following vectors is orthogonal to (1, −1, 1, −1)? A. (-1,1,-1,1)  B. (-1,-1,-1,-1) C.…

A: Let's find orthogonal vector.

Q: Determine if the vectors ? = (1,2) ? ? = (−2,1) are orthogonal

A: v1→=(1,2)v2→=(-2,1)Two vectors are orthogonal to each other if their dot product is…

Q: Of the vectors u = (2, -1); v = (-1, -2); w = (-4, 2) and o = (4, 2) are orthogonal:   w and o u…

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Q: Determine if the vector 2 b -A = 3 5 can be written as a linear combination of the vectors ---- 1…

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Q: 1. Determine whether the vectors vi (1,2,3), v2 (2,4, 5), and v3 (1,0,0) are independent.

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Q: What value of a will make the vectors (-2, x, 1) and (2, –1, 1) orthogonal? Select one: O a. 3 O b.…

A: For orthogonal, dot product of two vectors are zero.

Q: 2) Show that if u and v are orthogonal unit vectors in R*, then. a) -4=7 b) The vectors a+v and…

A: The set of vectors u1,u2,…,uk of ℝn is said to be orthogonal unit vectors of ℝn if the inner product…

Q: Determine whether the given vectors are orthogonal, parallel, or neither. (a) а 3 (9, 6), ь 3D(-4,…

A: In this question we will use basic of calculus i.e concept of vectors.  We will simply perform dot…

Q: b. Determine which of list of vectors The following Dinearly independent. Juihfy your. are awnser-…

A: From given vectors it is clear that

Q: Find a vector that is perpendicular to the given vectors. 3) i = (-5, 6, 7) v = 1, -9, 0) 4) RS and…

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Q: Find two vectors ?⎯⎯⎯1v¯1 and ?⎯⎯⎯2v¯2 whose sum is ⟨2,−5,3⟩⟨2,−5,3⟩, where ?⎯⎯⎯1v¯1 is parallel to…

A: We have to find v1 and V2 vector.

Q: (a) Determine whether W= (0, 5, 4) can be expressed as a linear combination of the vectors v1 =…

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Q: . Which of the following is an orthogonal pair of vectors? A. (1, 0, 1) and (1,1,0) B. (1, 1, 0) and…

A: The vectors a and b are said to be orthogonal vectors if their dot product is 0.

Q: Find 2u, -3v, u + v, and 3u 4v for the given vectors u and v. = (-8, 9), v= (8, -2) u = 2u = -3v = u…

A: Given u = {-8, 9} and v = {8, -2}

Q: Suppose that vi = (2, 1, 0, 3), v2= (3, – 1, 5, 2), and v3 = (- 1, 0, 2, 1). Which of the following…

A: Given:-             Suppose that v 1 =(2, 1, 0, 3), v 2=(3, – 1,5,2), and v 3=(-1,0, 2, 1). Which of…

Q: 11. Given đ = (2, x, –3) and b = (5,–10,y), for what values of x and y are the vectors collinear?

A: We have to find the values of x and y for which bothe the vectors are colinear

Q: If a, b, and c are three non zero vectors, such that axa= axc and a ·b = a·c, then it is true that b…

A: a→, b→ and c→ are three non zero vectors.  Given, a→·b→=a→·c→ a→·b→-a→·c→=0a→b→-c→=0Either b→=c→ or…

Q: 4. Using the vectors: ü=[2,-1,3], v=[4,5,-2], w=[1,-1,7], calculate: a) b) ux v c) ū+ v +2w

A: Here we have to perform the vector operation

Q: --8-9--8-- 7 1. Are the vectors u =| and w= 10 independent? 4 12 2 and 3 3 independent? 5 2. Are the…

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Q: Determine if each pair of vectors are orthogonal: v = ⟨ 12 , 8 ⟩ and w = ⟨ 2 , − 3 ⟩ Are v and w…

A: Given : v = 12, 8 and w = 2, -3  v = -6, -9 and u = 3, -2 v = -4, 3 and t = 3, -4

Q: Consider the vectors i = (6,4), i = (-2,6), = (4, 2), and i = (-2, 3). Which of these vectors are…

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Q: Determine whether the given vectors are orthogonal, parallel, or neither. (a) a = (9, 6), b = (-4,…

A: Two vectors are Orthogonal if their dot product is zero. Two vectors are parallel if they are…

Q: Q. Which of the following set of vectors Span ? i. [{1,-1,2),(0,1,1)] ii.…

A: We have to find out the the given set of vectors spans or not ? (i) [(1,-1,2),(0,1,1)] (ii)…

Q: 5.3. Find the angle between these pairs of vectors: (a) (1, v3) and (1,0); (b) (2, 2, –1) and (2,…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: write the given vector in terms of I and J. u={-8, 10} u=???

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Q: 1. If vectors u =(3, 3), v=( 13. -7), and 2w +3u-v=(4,-4) what is the coordinate of vector w? 2.…

A: For any vector x which is given as a,b, then a and b are the coordinates of the vector x. The…

Q: 7 For what value of k are the vectors u Select one alternative: Ok=-1 Ok=-2 Ok=1 Ok=2 (1,-1,-1) and…

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Q: Given the base B= {(- 6,0,3), (- 21, –39, –42), (- 13,7,0)} in coordinates of the vector v = (-…

A: Solution of question as follows

Q: 5. a. Explain why the vectors ả = (-2, 3) and b (3, –1) span R². %3| b. Determine the values of p…

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Q: Given ā = [1,3,-2] and b = [-2,5, 1] Determine a) The Dot Product of the given vectors b) The Cross…

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

Q: If vectors u =(3, 3), v=( 13. -7), and 2w +3u-v=(4,-4) what is the coordinate of vector w?

A: The given vectors are: And, Let the coordinates of vector w be, Substitute the coordinates in…

Q: Q. Which of the following set of vectors Span ? i. [{1,-1,2),(0,1, 1)] ii. [{1,2-1),(6,3,0),…

A: Solution: The objective is to find the given vectors span or not.

Q: The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v,, v2, and vz…

A: Given vectors are v1 = (1, 0, 1) v2 = (-1, 1, 2) v3 = (0, 7, 4)

Q: 4. Find a vector that points in the opposite direction as ā = (-3,–14,2) with a magnitude of 32. 5.…

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Q: Q3/ Determine whether the given vectors are orthogonal, parallel or neither: (1) u =(-2, 6, -4) , v…

A: Given that two vector u and v and prove that its orthogonal , parallel or neither.     Here i…

Q: Find the cross product of the given vectors. 7) ах b a (6,-6,-5) b=(-9,-1, 7) 8) а x Ь a = (9, 1, 2)…

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Q: Use correct vector notation at all times! 1. If a = (1, -3, 3) and = (2, — 1, 2), find: - a) 4a-b b)…

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