b) Consider the vectors u = (2c, 2, −4), v=(c, c, 3)and w = (-1, 2, 3). Find the value(s) of constant c such that u and v orthogonal. (i) (ii) Find the unit vector z in the direction of w.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 13CR
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b)
Consider the vectors u = (2c, 2, -4), v = (c, c, 3)and w=(-1, 2, 3).
Find the value(s) of constant c such that u and v orthogonal.
Find the unit vector z in the direction of w.
(i)
(ii)
Transcribed Image Text:b) Consider the vectors u = (2c, 2, -4), v = (c, c, 3)and w=(-1, 2, 3). Find the value(s) of constant c such that u and v orthogonal. Find the unit vector z in the direction of w. (i) (ii)
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