Find the following for the vectors v=3i - 2k and u = i +j+ k. a. v. u, |v|, |u| 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 a. v u = (Type an exact answer, using radicals as needed.)

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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Find the following for the vectors v=3i - 2k and u = i +j+ k.
a. v•u, |v|, |u|
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
a. v. u=
(Type an exact answer, using radicals as needed.)
Transcribed Image Text:Find the following for the vectors v=3i - 2k and u = i +j+ k. a. v•u, |v|, |u| 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 a. v. u= (Type an exact answer, using radicals as needed.)
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