Find the vector component of v = 2i - j+ 3k along b = 4i + 8j + 8k and the vector component of v orthogonal to b. %3D Enter the exact answers. The vector component of v along b is ( 2/3i 4/3j 4/3 k ). The vector component of v orthogonal to b is ( 4/3i , -7/3 j 5/3 k ).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 34E
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Find the vector component of v = 2i – j+ 3k along b = 4i + 8j + 8k and the vector component of v orthogonal to b.
Enter the exact answers.
The vector component of v along b is
( 2/3i
4/3j
4/3 k
).
The vector component of v orthogonal to b is
, -7/3 j
).
4/3 i
5/3 k
Transcribed Image Text:Find the vector component of v = 2i – j+ 3k along b = 4i + 8j + 8k and the vector component of v orthogonal to b. Enter the exact answers. The vector component of v along b is ( 2/3i 4/3j 4/3 k ). The vector component of v orthogonal to b is , -7/3 j ). 4/3 i 5/3 k
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