The unit vector parallel to the resultant vector of \[2\mathbf{i}+4\mathbf{j}-5\mathbf{k}\] and \[\mathbf{i}+2\mathbf{j}+3\mathbf{k}\] is [MP PET 2003]

\[\frac{\mathbf{i}+\mathbf{j}+\mathbf{k}}{\sqrt{3}}\]

\[\frac{1}{7}\,(3\mathbf{i}+6\mathbf{j}-2\mathbf{k})\]

\[\frac{\mathbf{i}+\mathbf{j}+2\mathbf{k}}{\sqrt{6}}\]

\[\frac{1}{\sqrt{69}}\,(-\mathbf{i}-\mathbf{j}+8\mathbf{k})\]

The unit vector parallel to the resultant vector of \[2\mathbf{i}+4\ma

1.	The unit vector parallel to the resultant vector of \[2\mathbf{i}+4\mathbf{j}-5\mathbf{k}\] and \[\mathbf{i}+2\mathbf{j}+3\mathbf{k}\] is [MP PET 2003]
A.	\[\frac{1}{7}\,(3\mathbf{i}+6\mathbf{j}-2\mathbf{k})\]
B.	\[\frac{\mathbf{i}+\mathbf{j}+\mathbf{k}}{\sqrt{3}}\]
C.	\[\frac{\mathbf{i}+\mathbf{j}+2\mathbf{k}}{\sqrt{6}}\]
D.	\[\frac{1}{\sqrt{69}}\,(-\mathbf{i}-\mathbf{j}+8\mathbf{k})\]
Answer» B. \[\frac{\mathbf{i}+\mathbf{j}+\mathbf{k}}{\sqrt{3}}\]

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The unit vector parallel to the resultant vector of \[2\mathbf{i}+4\mathbf{j}-5\mathbf{k}\] and \[\mathbf{i}+2\mathbf{j}+3\mathbf{k}\] is [MP PET 2003]

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