Question

What are the components of the vector between the origin and the polar coordinate `(2, (-pi)/6)`?

Answer 1

`=sqrt3hati-hatj`

Explanation:

if`(r,theta)` be the polar coordinate of position vector `veca` with respect to the origin then then `veca= rcosthetahati+rsinthetahatj`
Hence for the coordinate `(2,-pi/6)` the vector becomes

`veca=2cos(-pi/6)hati+2sin(-pi/6)hatj=sqrt3hati-hatj`