Two vectors u and v are given. u = (1, –1, 1), v = (-1, –1, 1) (a) Find a vector orthogonal (perpendicular) to both u and v. < 0,2,2 > (b) Find a unit vector orthogonal (perpendicular) to both u and v.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.2: Inner Product Spaces
Problem 87E
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Two vectors u and v are given.
u = (1, –1, 1), v = (-1, –1, 1)
|
(a) Find a vector orthogonal (perpendicular) to both u and v.
< 0,2,2 >
(b) Find a unit vector orthogonal (perpendicular) to both u and v.
Transcribed Image Text:Two vectors u and v are given. u = (1, –1, 1), v = (-1, –1, 1) | (a) Find a vector orthogonal (perpendicular) to both u and v. < 0,2,2 > (b) Find a unit vector orthogonal (perpendicular) to both u and v.
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