Find the value of \( \lambda \) such that the vectors \( \vec{a}=2 ...

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Find the value of \( \lambda \) such that the vectors \( \vec{a}=2 \hat{i}+\lambda \hat{j}+\hat{k} \) and \( \vec{b}=\hat{i}+2 \hat{j}+3 \hat{k} \) are orthogonal
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(A) 0
(B) 1
(C) \( \frac{3}{2} \)
(D) \( -\frac{5}{2} \)
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