It is given that a=2i+3j\mathbf{a} = 2\mathbf{i} + 3\mathbf{j}a=2i+3j and b=λi−4j\mathbf{b} = \lambda\mathbf{i} - 4\mathbf{j}b=λi−4j where λ \lambda\,λ is a constant.
Given that ∣a+b∣=5|\mathbf{a} + \mathbf{b}| = 5∣a+b∣=5, find the exact values of λ\lambdaλ.