Can a force directed north balance a force directed east ? Explain
No you cant balance a force in that way.
Let force directed to north is X kN
Let force directed to east is Y KN.
To balance the force directed to east, the force directed to north should have a component directed to west (opposite to east) and this component should be equal to Y KN.
So for the force directed to north; the angle between north and west is 90 degrees.
The component to west = X cos (90)
But cos(90) = 0
Therefore X cos (90) = 0 KN
So the component directed to west is 0 KN what ever the force we applied to north.
So we cannot balance a force directed to east by a force directed to north.