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Find if the scalar projection of on is 4 units.
Find $\lambda$ if the scalar projection of $\vec{a} = \lambda\hat{i} + \hat{j} + 4\hat{k}$ on $\vec{b} = 2\hat{i} + 6\hat{j} + 3\hat{k}$ is 4 units.
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From ISC 2021 Specimen Mathematics Paper 1, question 16(b).