Find the value of ' \( \lambda \) ' such that the vectors \( \vec{a...

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Find the value of ' \( \lambda \) ' such that the vectors \( \vec{a} \) and \( \vec{b} \) are perpendicular (orthogonal), where :
\[
\vec{a}=2 \hat{i}+4 \hat{j}-\hat{k}, \quad \vec{b}=3 \hat{i}-2 \hat{j}+\lambda \hat{k}
\]
\( \mathrm{W} \)
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