Given v=-7i-6j and w=5i-j, find the angle between v and w. What

Khaleesi Herbert

Khaleesi Herbert

Answered question

2021-08-16

Given v=7i6j and w=5ij, find the angle between v and w.
What is the angle between v and w?

Answer & Explanation

Alix Ortiz

Alix Ortiz

Skilled2021-08-17Added 109 answers

Given that v=7i6j and w=5ij
As we know that
vw=|v||w|cosθ
cosθ=vw|v||w|
cosθ=(7i6j)(5ij)|7i6j||5ij|
cosθ=(7×5)+(6×1)(7)2+(6)252+(1)2
cosθ=35+68526
cosθ=298526
cosθ=0.61688
Take cos inverse
θ=cos1(0.61688)
θ=cos1(0.61688)
Round nearest tenth
θ=128.1
Jeffrey Jordon

Jeffrey Jordon

Expert2022-02-01Added 2605 answers

Answer is given below (on video)

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