Question
Asked Nov 21, 2019
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Let u=〈1,3〉and let v=〈−6,2〉

(a) Find the angle between u and v

(b) Are u and v perpendicular?

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Expert Answer

Step 1

Given,

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u =< 1,3 > and v =< -6,2 >

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Step 2

For part a and...

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For part a We know that, angle between two vectors a and b is given by a.b Ө — cos" Jal bl. So, u v =< 1,3 '< -6,2 > = -6 + 6 = 0 u 1232 V19 10 and v|= 6)2 22= V36 + 4 = V40 0 TT -1 = COS = cos(0) .. Ө — сos 10-40. Jul|v1. Part b п Since, from the part a, the angle between the u and v is So, u and v are perpendicular.

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Tagged in

Math

Algebra

Vectors