# A charge of #-2 C# is at #(-5 , 1 )# and a charge of #-3 C# is at #(0 ,4) #. If both coordinates are in meters, what is the force between the charges?

##### 1 Answer

Magnitude of

Direction of

Direction of

#### Explanation:

We can solve this equation by using Coulomb's law, which relates the magnitude of the electric force between two point charges, and in equation form is

The quantity

The variables

Now that we have all the variables needed, the magnitude of the electric force between the two points is

Since both point charges are negative, the force is *repulsive*, and is the magnitude of the force the particles act upon each other.

If you want the *direction* of the force, which completes the vectoral description of the force of repulsion, we can use the fact that the force of object *negative* of the force of object

If we let the point with charge

The direction of