# Can a force directed north balance a force directed east ? Explain

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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.