Question
If volume of parallelepiped whose there coterminous edges are \( \vec{u}=\hat{i}+\hat{j....
Question
If volume of parallelepiped whose there coterminous edges are \( \vec{u}=\hat{i}+\hat{j}+\lambda \hat{k} \),
\( \mathrm{P} \)
\( \vec{v}=\hat{i}+\hat{j}+3 \hat{k} \) and \( \vec{w}=2 \hat{i}+\hat{j}+\hat{k} \) is 1 cubic unit then cosine of angle between \( \vec{u} \) and \( \vec{v} \) is
(1) \( \frac{7}{3 \sqrt{10}} \)
(2) \( \frac{7}{6 \sqrt{3}} \)
(3) \( \frac{5}{3 \sqrt{3}} \)
(4) \( \frac{5}{7} \)
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