Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance between them and their polar coordinates.

The distance between the two points is

The polar coordinate of A is

The polar coordinate of B is

Explanation:

The two points are and

The distance between two points is given by,

Thus, the distance between the two points is

The polar coordinates of A can be written as

Distance =

Substituting , we get,

Distance =

To make the angle positive, let us add 360,

The polar coordinate of A is

Similarly, The polar coordinate of B can be written as

Distance =

Substituting , we get,

Distance =

To make the angle positive, let us add 360,

The polar coordinate of B is