Find the angle \theta between the given vectors to the

yapafw

yapafw

Answered question

2021-11-14

Find the angle θ between the given vectors to the nearest tenth of a degree.
U=5i+7j, V=8i+3j

Answer & Explanation

Anthony Caraballo

Anthony Caraballo

Beginner2021-11-15Added 15 answers

We have to find angle
u=5i+7j V=8i+3j
uv=|u||v|cosθ
cosθ=uv|u||v|
uv=58+73=40+21=19
|u|=25+49=74
|v|=(8)2+(3)2=64+9=73
cosθ=197473=19(8602)(854)
=1973444=0.2587
=θ=cos1(0.2587)=104.99
θ=104.99

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