Consider the following. u = -7i - 2j – 4k, v = 4j + 4k (a) Find the projection of u onto v. -3j – 3k (b) Find the vector component of u orthogonal to v. -7i +j-k

Elementary Linear Algebra (MindTap Course List)
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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 = -7i - 2j - 4k, v = 4j + 4k
(a) Find the projection of u onto v.
-3j – 3k
(b) Find the vector component of u orthogonal to v.
-7i +j- k
Transcribed Image Text:Consider the following. u = -7i - 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. -3j – 3k (b) Find the vector component of u orthogonal to v. -7i +j- k
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