A particle P, of mass 0.5 kg, is moving with velocity (4i + 4j) ms-1 when it receives an impulse I of magnitude 2.5 Ns. As a result of the impulse, the direction of motion of P is deflected through an angle of 45°.
Given that I = (λi + μj) Ns, find all the possible pairs of values of λ and μ.
How do I start with this question. The mark scheme uses a diagram with vector 2i + 2j, but I dont' get why that's used instead of 4i +4j