Answered: Consider the following. u = 7i+ 6j, v =…

Consider the following. u = 7i+ 6j, v = 5i + 8j (a) Find the projection of u onto v. 415 89 -i + 664 j 89 (b) Find the vector component of u orthogonal to v. -21 118 i+ 65 65

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

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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Question

Consider the following.
u = 7i+ 6j, v = 5i + 8j
(a) Find the projection of u onto v.
415
89
-i +
664
j
89
(b) Find the vector component of u orthogonal to v.
-21
118
i+
65
65

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