Use the dot product to find an angle between u=5i+2j

gainejavima

gainejavima

Answered question

2021-11-13

Use the dot product to find an angle between u=5i+2j and v=8i3j to the nearest tenth of a degree.

Answer & Explanation

Feas1981

Feas1981

Beginner2021-11-14Added 16 answers

We will use the dot product to find the angle between u and v, given
u=5i+2j, v=8i3j
Remember that the dot product of two nonzero vectors u and v is defined to be
uv=||u||||v||cosθ
where θ is the angle between u and v.
Using the dot product formula, solving for cosθ gives
cosθ=uv||u||||v||
=(5)(8)+(2)(3)52+2282+(3)2
=342973
=342117
Solving for the value of θ, we get
θ=cos(342117)
=42.4

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?