Let a = 3i – 6j + 4k and b = 2i + j – 2k. a Find c, the vector component of a perpendicular to b. b Find d, the vector resolute of c in the direction of a. c Hence show that |a||d| = |c|?.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 50E
Question
Let a = 3i – 6j + 4k and b = 2i + j – 2k.
a Find c, the vector component of a perpendicular to b.
b Find d, the vector resolute of c in the direction of a.
c Hence show that |a||d| = |c|?.
Transcribed Image Text:Let a = 3i – 6j + 4k and b = 2i + j – 2k. a Find c, the vector component of a perpendicular to b. b Find d, the vector resolute of c in the direction of a. c Hence show that |a||d| = |c|?.
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