Question

What is the distance between the following polar coordinates?: `(2,(3pi)/2), (-2,pi/2)`

Answer 1

distance `= 0`

Explanation:

`(2, (3pi)/2)` is located at a distance of `2` from `(0,0)` at the angle `(3pi)/2 = 270^@` counter-clockwise from the `x`-axis.

`(2, pi/2)` is located at a distance of `2` from `(0,0)` at an angle of `pi/2 = 90^@`. The `-2` means `180^@` from the location `(2, pi/2)`.
`180^@` from `90^@ = 270^@ = (3pi)/2`

This means `(-2, pi/2) = (2, (3pi)/2)`

The distance would `= 0` because they are the same point.