98 25) Gvon vectors v= 30tj and w=-2i -j. Decompose v into two vectors V, and Vz, where V, is parallel to w and Vz is or thogonal to W.

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.2: Inner Product Spaces
Problem 87E
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pg8 25 Gven veetors v= 30+j and w=-20-j. Decompose v into two vectors V, and Va,
where
v, is parallel to w and Vz is or thogonal to W.'
= (v.w
W²
V =(3itj) -V
- (siri) -(-+)
%3D
(3i1) · (-2, -) .(-2i-i)
%3D
6i-1 (-21-j)
%3D
12i + I
13
Transcribed Image Text:pg8 25 Gven veetors v= 30+j and w=-20-j. Decompose v into two vectors V, and Va, where v, is parallel to w and Vz is or thogonal to W.' = (v.w W² V =(3itj) -V - (siri) -(-+) %3D (3i1) · (-2, -) .(-2i-i) %3D 6i-1 (-21-j) %3D 12i + I 13
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