A particle $$\(P\)$$ of mass $$\(0.2 \mathrm{~kg}\)$$ is moving with velocity $$\((4 \mathbf{i}-3 \mathbf{j}) \mathrm{ms}^{-1}\)$$ The particle receives an impulse $$\(\lambda(\mathbf{i}+\mathbf{j}) \mathrm{Ns}\)$$, where $$\(\lambda\)$$ is a constant. Immediately after receiving the impulse, the speed of $$\(P\)$$ is $$\(7 \mathrm{~m} \mathrm{~s}^{-1}\)$$ Find the possible values of $$\(\lambda\)$$ (6)

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