Question
Asked Sep 21, 2019
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Find the dot product
v.w and the angle between v and w.
v
-3i+4j k, w
2i +j 3k
W =
V W
(Simplify your answer. Type an exact value, using radicals as needed.)
O
The angle between v and w is 0 =
(Do not round until the final answer. Then round to the nearest tenth as needed.)
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Find the dot product v.w and the angle between v and w. v -3i+4j k, w 2i +j 3k W = V W (Simplify your answer. Type an exact value, using radicals as needed.) O The angle between v and w is 0 = (Do not round until the final answer. Then round to the nearest tenth as needed.)

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Expert Answer

Step 1

Firstly,  we find vectors v and w .

31+4
v=(-37+ 47-E)(27 +j+ 3)
v.W(-3)(2)+(4) (1)(1)(3) = -6+4-3 = -5
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31+4 v=(-37+ 47-E)(27 +j+ 3) v.W(-3)(2)+(4) (1)(1)(3) = -6+4-3 = -5

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Step 2

Then we find the cosine of angle between the vectors

-5
-5
cose
|5||w|
=
(-3) +42 +(-1)'V2 +1? +3? \26 14
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-5 -5 cose |5||w| = (-3) +42 +(-1)'V2 +1? +3? \26 14

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Step 3

Now, we find angle betw...

5
0=180 - cos
2614180-74.8' =105.2°
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5 0=180 - cos 2614180-74.8' =105.2°

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