Find the following for the vectors u= 10i – 8j + V5k and v= - 10i + 8j- /5k. a. v•u, lv], and Ju| b. the cosine of the angle between v and u c. the scalar component of u in the direction of v d. the vector proj,u v•u= (Simplify your answer.)

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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12.2 , 1

Find the following for the vectors u = 10i – 8j + 5k and v = - 10i + 8j – V5 k.
a. v•u, [v], and |ul
b. the cosine of the angle between v and u
c. the scalar component of u in the direction of v
d. the vector proj,u
v•u=
(Simplify your answer.)
Transcribed Image Text:Find the following for the vectors u = 10i – 8j + 5k and v = - 10i + 8j – V5 k. a. v•u, [v], and |ul b. the cosine of the angle between v and u c. the scalar component of u in the direction of v d. the vector proj,u v•u= (Simplify your answer.)
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