Question
Asked Nov 7, 2019
Show work and/or justification for all answers
. Let u =
-2
3
V =
3
4
5
a) Find a unit vector in the direction of v
b) Find the distance between v and w
c) Is u orthogonal to w?
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Show work and/or justification for all answers . Let u = -2 3 V = 3 4 5 a) Find a unit vector in the direction of v b) Find the distance between v and w c) Is u orthogonal to w?

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Step 1

Step 2

Obtain the unit vector in the direction of v as,

उ
(3,-1.-5
(3,-1,-5) (3,-1-5)
(3,-1-5
9125
(3,-1,-5)
У35
3
1
5
35 у35 35
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उ (3,-1.-5 (3,-1,-5) (3,-1-5) (3,-1-5 9125 (3,-1,-5) У35 3 1 5 35 у35 35

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Step 3

b) Obtain the distance between v and w ...

d(v.w)3-1(-1-3 +(-5-4)
-2)+(-4(-9)
= 4+16+81
= v101
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d(v.w)3-1(-1-3 +(-5-4) -2)+(-4(-9) = 4+16+81 = v101

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