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.
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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Question
![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff93fb7e-2386-42b7-a9ef-797426898aa5%2F4a2e31fe-6585-4658-905f-bb5180ef0cc3%2Ffj38l7k_processed.jpeg&w=3840&q=75)
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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