A20-lb force acts to the west while an 80-lb force acts 45° east of north. the magnitu 80 lb 70 lb 067 lb 100 lb

Explanation:

Taking the east as the positive x direction, and the north as the positive y direction.

The first force points west, this is, in the direction of , so, is

For the second force, knowing the magnitude and directions relative to the x axis, we can find Cartesian representation of the vectors using the formula

where is the magnitude of the vector and θ the angle with the positive x direction.

So, the second force is

The net force will be :

To obtain the magnitude, we can use the Pythagorean Theorem

And this is the magnitude we are looking for.

at right angles to each other