A particle is held in equilibrium by three forces. The first force is 10i10\mathbf{i}10i N, the second is PjP\mathbf{j}Pj N and the third is Q5(−3i−4j)\dfrac{Q}{5}(-3\mathbf{i}-4\mathbf{j})5Q(−3i−4j) N, where P P\,P and Q Q\,Q are positive constants.
Find P P\,P and QQQ.