Consider the following. u = -6i - 2j - 4k, v = 2j + 2k (a) Find the projection of u onto v. 0, - 3, - 3 (b) Find the vector component of u orthogonal to v. -6, 1, – 1

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
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Consider the following.
u = -6i - 2j - 4k, v = 2j + 2k
(a) Find the projection of u onto v.
0, - 3, - 3
(b) Find the vector component of u orthogonal to v.
-6, 1, - 1
Transcribed Image Text:Consider the following. u = -6i - 2j - 4k, v = 2j + 2k (a) Find the projection of u onto v. 0, - 3, - 3 (b) Find the vector component of u orthogonal to v. -6, 1, - 1
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