Question

Write V in the form (|v|cosΘ,|v|sinΘ), with considering the vector v=(5,8)

Answer 1

First, find the angle,
\[\theta=\arctan(8/5)=32^o\]
Then, the modulus,
\[|v|=\sqrt{5^2+8^2}=\sqrt{79}\]
Multiply,
\[\vec{v}=(\sqrt{79}\cos\theta),\sqrt{79}\sin\theta)\]

Answer 2

Wouldn't 5^2+8^2=89

Answer 3

thank yo! I got it now

Answer 4

Yes, you are right.