Let x, y, u and v be row vectors in R° obeying: х 3 (2, —1,3), у 3 (-3, 2, 2), У 3 (-3, 2, 2), X= and suppose that x.w = 7, у-w3D -2, and иxv%3D (4,—2,4). Use this information to answer the following questions: a) Calculate (x x y) × w. b) Find (x x v) - u. c) Calculate (2u – 5v) × (3u+2v). d) Suppose that the area of the parallelogram with one vertex at the origin determined by the vectors u+ kv and ku + v is 48 for some k e R. What are the possible values of k?

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A: We have to write EC vector in terms of a,b and c

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A: The u vector can be computed as: u=6-1i+11-1ju=5i+10j

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Q: For the vectors A = Ux + 3uy + 5uz , B = 2ux, 4uy + 6uz, and C = 3ux + 4uy + 5uz. Show that A x (B x…

A: For the vectors A = Ux + 3uy + 5uz , B = 2ux, 4uy + 6uz, and C = 3ux + 4uy + 5uz. To show :-A x (B x…

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Q: 9. Given that u = (1,5) and v = (-2,3), determine the following %3D -3u – 4v =

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A: Solution

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Q: Given the following vectors, calculate -5u+2v u=(7,3), V=(5,-3)

A: Given query is to perform indicated vector operation.

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A: To determine the angles between the following pairs of vectors.

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Q: 5. Write the components of the following vectors: 5a. ˆı, 5b. −7ˆȷ, 5c. 4ˆı + 9ˆȷ, 5d. 5ˆı − 3ˆȷ.6.…

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Q: t a = (3,3) and b = (4,1) draw and label the vectors a, b, -a and b - a on a set of coordinate axes.

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Q: 2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 =…

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Q: 1. What vector points from the origin to the point (4, 3, -1)? 2. Write (-3, 0, 2) as a sum of two…

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