Consider the parallelepiped with side \[\vec{a}=3\hat{i}+2\hat{j}+\hat{k},\text{ }\vec{b}=\hat{i}+\hat{j}+2\hat{k}\] and \[\vec{c}=\hat{i}+3\hat{j}+3\hat{k}\] then the angle between \[\vec{a}\]and the plane containing the face determined by \[\vec{b}\] and \[\vec{c}\] is

\[\sin {{\,}^{-1}}\frac{1}{3}\]

\[\cos {{\,}^{-1}}\frac{1}{14}\]

Consider the parallelepiped with side \[\vec{a}=3\hat{i}+2\hat{j}+\hat

1.	Consider the parallelepiped with side \[\vec{a}=3\hat{i}+2\hat{j}+\hat{k},\text{ }\vec{b}=\hat{i}+\hat{j}+2\hat{k}\] and \[\vec{c}=\hat{i}+3\hat{j}+3\hat{k}\] then the angle between \[\vec{a}\]and the plane containing the face determined by \[\vec{b}\] and \[\vec{c}\] is
A.	\[\sin {{\,}^{-1}}\frac{1}{3}\]
B.	\[\cos {{\,}^{-1}}\frac{1}{14}\]
C.	\[sin{{\,}^{-1}}\frac{9}{14}\]
D.	\[sin{{\,}^{-1}}\frac{2}{3}\]
Answer» D. \[sin{{\,}^{-1}}\frac{2}{3}\]

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Consider the parallelepiped with side \[\vec{a}=3\hat{i}+2\hat{j}+\hat{k},\text{ }\vec{b}=\hat{i}+\hat{j}+2\hat{k}\] and \[\vec{c}=\hat{i}+3\hat{j}+3\hat{k}\] then the angle between \[\vec{a}\]and the plane containing the face determined by \[\vec{b}\] and \[\vec{c}\] is

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