If the projection of the vector \( \hat{i}+2 \hat{j}+\hat{k} \) on the sum of the two vectors \(...

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If the projection of the vector \( \hat{i}+2 \hat{j}+\hat{k} \) on the sum of the two vectors \( 2 \hat{i}+4 \hat{j}-5 \hat{k} \) and \( -\lambda \hat{i}+2 \hat{j}+3 \hat{k} \) is \( \lambda \), then \( \lambda \) is equal to
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