II) Consider and v= 1, 6,0>. the two vectors u =< 1,0, 2> a) Find u and v. b) Find u x v, u x vand u. v. c) Prove that : u xv|² + (u.v)² = |u|²|v|²

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 52EQ
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II)
Consider the two vectors u =< 1,0, 2>
and v=< 1, 6,0 >.
a) Find u and v\.
b) Find u x v, u x vand u. v.
c) Prove that: u xv|² + (u.v)² = |u|²|v|²
Transcribed Image Text:II) Consider the two vectors u =< 1,0, 2> and v=< 1, 6,0 >. a) Find u and v\. b) Find u x v, u x vand u. v. c) Prove that: u xv|² + (u.v)² = |u|²|v|²
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