Question

What are the components of the vector between the origin and the polar coordinate `(9, (3pi)/2)`?

Answer 1

`(3pi)/2` is `270^o` with a radius `r=9`, so this point lies on the y-axis at the point `(-9,0)`

Explanation:

The origin is at the coordinate `(0,0)`

So, assuming the terminal point is `(-9,0)`, then the component vector is `<-9,0>`

If you need this in terms of the unit vectors `i and j` ...

`v=-9i+0j=-9i`

hope that helped