Find the best approximation to z by vectors of the form c, v, + C2v2. 2 4 2 V2 Z= 2 The best approximation to z is (Simplify your answer.)

Q: 7. What is the cross product (Ax B) of the given vectors below? A = -4i + 7j B = 3i

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Q: Find the best approximation to z by vectors of the form c,v, + C2V2. 3 1 - 6 2 - 1 V2 = - 3 3 1 The…

A: Solution

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Q: Find the best approximation to z by vectors of the form c, v, + C2 V2- 3 3 1 - 5 1 - 2 V2 = 4 - 2 3…

A: To Find the best approximation to z by vectors of the form c1v1+c2v2.

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A: Topic:- vector algebra

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Q: 3) Let å = 2ỉ +j,b = 5ỉ – 4j and c = i+j are vectors in 2D, then simplify å + b + 3č

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Q: 8. If you know that the vectors a = 4i-j + 2k and b =4i-2j-5k, then the lengthvector %3D a - 2b = A.…

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A: Introduction: We know that two vectors u=(x,y,z) and v=(a,b,c) are orthogonal if and only if, u·v=0

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Q: -2 [5a] Find the value of a such that the vectors u =a +4 and v = |2 are orthogonal.

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Q: Find the best approximation to z by vectors of the form c,vi + C2V2. 2 - 2 V2 1 4 3 2 The best…

A: We have to find out the best approximation to z by vectors of the form C₁ V₁ +C₂V2.

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Q: Find e.values and e.vectors for : 1- b = 2- c = [ 31 -2 2-C = -2 | 3 0 3- a = 0 0 1 2 0. Lo 0. 1.

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Q: Find the best approximation to z by vectors of the form c, v, + C2V2 4 -7 1 1 V2 = 2 z= 3 [-1] 4 1…

A: To find  The best approximation to Z by the vectors of the form c1v1+c2v2.

Q: Consider the following vectors: -4 3 -4 -2 1 |, w = -2 , and b = -2 v 1 4 When b is expressed as a…

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Q: Find the value(s) of h for which the vectors are linearly dependent. Justify your answer. -4 2 - 4…

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Q: 3 as a linear combination of the vectors: 0 Lo] 1. Write the vector v = 6

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Q: Find the best approximation to z by vectors of the form c, v, + C, V2. 4 2 -5 1 1 z= 2 3 -1 The best…

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Q: 2. Determine the value of c, so the given vectors are perpendicular: u=[-4c, 3], v = [-1, 2]

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Q: 1. Given the vectors à = (-1, 1, 1), b = (2, 1, –3), and ở = (5, 1, –-7), calculate the value of…

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Q: Consider the following vectors: 2 -2 and b -3 u , V 4 When b is expressed as a linear combination…

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Q: Find the best approximation to z by vectors of the form c, v1 + C2V2. 3 3 6 15 - 1 V2= - 1 z= - 3…

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Q: Find the best approximation to z by vectors of the form cv1 + ¢2V2. 3 1 -7 -1 1 V1 V2 -3 3

A: To find  The best approximation to z by vectors of the form c1v1+c2v2.

Q: Find the value(s) of h for which the vectors are linearly dependent. 2 3 4 - 7 h 4

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Q: Find the best approximation to z by vectors of the form c,v1 + C2V2. 2 1 - 5 1 - 1 3 - 3 2 1 1 The…

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Q: 5 5 5 0 4 4 0 0 4 Then for which column vector b, the equation Ax = bhas a unique solution? Select…

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Q: Find the best approximation to z by vectors of the form c,v, + C2V2. 3 3 6 1 V2 = 1 V1 = - 2 4 3 - 2…

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Q: Find the best approximation to z by vectors of the form c,v1 + C2V2. 2 2 6 - 2 V1 = V2 - 1 1 4 2 The…

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Q: Find the value of k for which the vectors -5 -1 4 and -4 k are orthogonal. k =

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