The angle between the vectors \[3\,\mathbf{i}+\mathbf{j}+2\,\mathbf{k}\] and \[2\,\mathbf{i}-2\,\mathbf{j}+4\,\mathbf{k}\] is [MP PET 1990]

\[{{\cos }^{-1}}\frac{2}{\sqrt{5}}\]

\[{{\cos }^{-1}}\frac{2}{\sqrt{7}}\]

\[{{\sin }^{-1}}\frac{2}{\sqrt{7}}\]

\[{{\sin }^{-1}}\frac{2}{\sqrt{5}}\]

The angle between the vectors \[3\,\mathbf{i}+\mathbf{j}+2\,\mathbf{k}

1.	The angle between the vectors \[3\,\mathbf{i}+\mathbf{j}+2\,\mathbf{k}\] and \[2\,\mathbf{i}-2\,\mathbf{j}+4\,\mathbf{k}\] is [MP PET 1990]
A.	\[{{\cos }^{-1}}\frac{2}{\sqrt{7}}\]
B.	\[{{\sin }^{-1}}\frac{2}{\sqrt{7}}\]
C.	\[{{\cos }^{-1}}\frac{2}{\sqrt{5}}\]
D.	\[{{\sin }^{-1}}\frac{2}{\sqrt{5}}\]
Answer» C. \[{{\cos }^{-1}}\frac{2}{\sqrt{5}}\]

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The angle between the vectors \[3\,\mathbf{i}+\mathbf{j}+2\,\mathbf{k}\] and \[2\,\mathbf{i}-2\,\mathbf{j}+4\,\mathbf{k}\] is [MP PET 1990]

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