Problem 8: Three forces are acting on a body as shown. Find the magnitude of their resultant and also state in which plane the final resultant lies.

Solution

Consider the diagram. Here we have,

F_x = 6 N              F_y = 8 N              F_z = 5 N

If F is the magnitude of the resultant force, then

Put the values

Since the resultant force is specified by three dimensions, therefore, it lies in the space.