Given the following vectors: A= {2, −3, 6}, B= {1, 0, 1},  and C= {−2, 1, 3} a. Find the vector of length 9 in the direction opposite of A. b. Find the angle between A and B. c. Write A as a sum of a vector parallel to B and another vector orthogonal to B.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section: Chapter Questions
Problem 4DE
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Given the following vectors: A= {2, −3, 6}, B= {1, 0, 1},  and C= {−2, 1, 3}

a. Find the vector of length 9 in the direction opposite of A.
b. Find the angle between A and B.
c. Write A as a sum of a vector parallel to B and another vector orthogonal to B.
d. Find the area of the triangle with A and B as adjacent sides.
e. Find the volume of the parallelipiped determined by A, B and C

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