Question 1. Use the following information about some vectors in R to answer the questions following: x = (2, –1, 3) and y = (-3, 2, 2) XE w =7 y- w = -2 u x v = (4, –2, 4) (a) Find (x x y) × w . (b) Find (x x v) - u. (c) Find (2u – 5v) × (3u + 2v). (d) The area of the parallelogram with vertex at the origin, determined by u + kv and ku + v is 48. What are the possible values of k?

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter5: Inner Product Spaces
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Question 1. Use the following information about some vectors in R to answer the
questions following:
x = (2, –1, 3) and y = (-3, 2, 2)
u x v = (4, –2, 4)
X[ w =7
y w=-2
(a) Find (x x y) × w.
(b) Find (x × v) - u.
(c) Find (2u - 5v) × (3u + 2v).
(d) The area of the parallelogram with vertex at the origin, determined by u+ kv and
ku + v is 48.
What are the possible values of k?
Transcribed Image Text:Question 1. Use the following information about some vectors in R to answer the questions following: x = (2, –1, 3) and y = (-3, 2, 2) u x v = (4, –2, 4) X[ w =7 y w=-2 (a) Find (x x y) × w. (b) Find (x × v) - u. (c) Find (2u - 5v) × (3u + 2v). (d) The area of the parallelogram with vertex at the origin, determined by u+ kv and ku + v is 48. What are the possible values of k?
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