Decompose v into two vectors v₁ and v2, where v₁ is parallel to w and v₂ is orthogonal to w. v=2i+j and w=-6i-j What does v₁ equal? O 78 13 37¹37 - 4 24 371-739718 37¹ 37¹ What does v₂ equal? 78 13 i+ 37¹ 37j 4 24 37¹ 37 ... O 78 13 37¹+ 37¹ 4 24 37¹+ 37¹ 4 37 24 371 78 13 37-37

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 12E
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Question
Decompose v into two vectors v₁ and v2, where v₁ is parallel to w and v₂ is orthogonal to w.
v=2i+j and w=-6i-j
What does v₁ equal?
O
O
4 24
371-37)
What does v₂ equal?
O
78 13
37¹ 37¹
O
78
371 +371
i+
4
37
24
37
ane
O 78 13
i+
37¹+ 37¹
O
O
4 24
37
it
4 24
37
78
37
371
it
i-
371
13
37
Transcribed Image Text:Decompose v into two vectors v₁ and v2, where v₁ is parallel to w and v₂ is orthogonal to w. v=2i+j and w=-6i-j What does v₁ equal? O O 4 24 371-37) What does v₂ equal? O 78 13 37¹ 37¹ O 78 371 +371 i+ 4 37 24 37 ane O 78 13 i+ 37¹+ 37¹ O O 4 24 37 it 4 24 37 78 37 371 it i- 371 13 37
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