The direction cosines of the vector \[3\mathbf{i}-4\mathbf{j}+5\mathbf{k}\] are [Karnataka CET 2000]

\[\frac{3}{\sqrt{2}},\,\frac{-4}{\sqrt{2}},\,\frac{1}{\sqrt{2}}\]

\[\frac{3}{5},\,\frac{-4}{5},\frac{1}{5}\]

\[\frac{3}{5\sqrt{2}},\,\frac{-4}{5\sqrt{2}},\frac{1}{\sqrt{2}}\]

\[\frac{3}{5\sqrt{2}},\,\,\frac{4}{5\sqrt{2}},\,\frac{1}{\sqrt{2}}\]

The direction cosines of the vector \[3\mathbf{i}-4\mathbf{j}+5\mathbf

1.	The direction cosines of the vector \[3\mathbf{i}-4\mathbf{j}+5\mathbf{k}\] are [Karnataka CET 2000]
A.	\[\frac{3}{5},\,\frac{-4}{5},\frac{1}{5}\]
B.	\[\frac{3}{5\sqrt{2}},\,\frac{-4}{5\sqrt{2}},\frac{1}{\sqrt{2}}\]
C.	\[\frac{3}{\sqrt{2}},\,\frac{-4}{\sqrt{2}},\,\frac{1}{\sqrt{2}}\]
D.	\[\frac{3}{5\sqrt{2}},\,\,\frac{4}{5\sqrt{2}},\,\frac{1}{\sqrt{2}}\]
Answer» C. \[\frac{3}{\sqrt{2}},\,\frac{-4}{\sqrt{2}},\,\frac{1}{\sqrt{2}}\]

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The direction cosines of the vector \[3\mathbf{i}-4\mathbf{j}+5\mathbf{k}\] are [Karnataka CET 2000]

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