Set A 1. Prove using vectors that the points (4, 3, 0), (2, 0, 1), (4, 1, -1), and (2, 2, 2) are the vertices of a rectangle. 2. Let Ā and B be nonzero vectors. Find k ER such that Ā + kB is orthogonal to B - Ā.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 20E
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Set A
1. Prove using vectors that the points (4, 3, 0), (2, 0, 1), (4, 1, -1), and (2, 2, 2) are the vertices of
a rectangle.
2. Let Ā and B be nonzero vectors. Find k ER such that Ā + kB is orthogonal to B - Ā.
Transcribed Image Text:Set A 1. Prove using vectors that the points (4, 3, 0), (2, 0, 1), (4, 1, -1), and (2, 2, 2) are the vertices of a rectangle. 2. Let Ā and B be nonzero vectors. Find k ER such that Ā + kB is orthogonal to B - Ā.
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