D. Let A = (1, 2, 3), B = (4, -3, -1), C (-5, -3, 5) be vectors in R³ 11. Find the cosine of the angle between B and C, the component of C in the direction of B (scalar projection of C onto B), the vector projection of C onto B.

D. Let A = (1, 2, 3), B = (4, -3, -1), C (-5, -3, 5) be vectors in R³ 11. Find the cosine of the angle between B and C, the component of C in the direction of B (scalar projection of C onto B), the vector projection of C onto B.

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

I. VECTORS IN R², R³, R¹
D. Let A = (1, 2, 3), B = (4, -3, -1), C (-5, -3, 5) be vectors in R³
11. Find the cosine of the angle between B and C, the component of C in the direction of B
(scalar projection of C onto B), the vector projection of C onto B.

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