Question

What are the components of the vector between the origin and the polar coordinate `(1, pi/4)`?

Answer 1

If Polar coordinate is `(r,theta)`
The n the vector ,`vecV=rcosthetahati+rsinthetahatj`
Here `r = 1 and theta = pi/4`
Hence
,`vecV=1xxcos(pi/4)hati+1xxsin(pi/4)hatj=1/sqrt2(hati+hatj)`