Let u = (4,-1,-1) and v= (2,-2, 2x + 1) be two vectors in space. Find alle ER such that u and v are orthogonal. Find all r R such that |u| = |v| Find the area of the parallelogram determined by u and v. Express your answer in terms of x. (i) (ii)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 13E
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Let u =
(4, -1, -1) and v = (2, -2, 2x + 1) be two vectors in space.
Find all
ER such that u and v are orthogonal.
Find all
€ R such that |u| = |v|.
(i)
Find the area of the parallelogram determined by u and v. Express
your answer in terms of a.
Transcribed Image Text:Let u = (4, -1, -1) and v = (2, -2, 2x + 1) be two vectors in space. Find all ER such that u and v are orthogonal. Find all € R such that |u| = |v|. (i) Find the area of the parallelogram determined by u and v. Express your answer in terms of a.
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