A unit vector in the \[xy-\]plane which is perpendicular to \[4\mathbf{i}-3\mathbf{j}+\mathbf{k}\] is [RPET 1991]

\[\frac{1}{5}\,(3\mathbf{i}-4\mathbf{j})\]

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

\[\frac{1}{5}(3\mathbf{i}+4\mathbf{j})\]

A unit vector in the \[xy-\]plane which is perpendicular to \[4\mathbf

1.	A unit vector in the \[xy-\]plane which is perpendicular to \[4\mathbf{i}-3\mathbf{j}+\mathbf{k}\] is [RPET 1991]
A.	\[\frac{\mathbf{i}+\mathbf{j}}{\sqrt{2}}\]
B.	\[\frac{1}{5}(3\mathbf{i}+4\mathbf{j})\]
C.	\[\frac{1}{5}\,(3\mathbf{i}-4\mathbf{j})\]
D.	None of these
Answer» C. \[\frac{1}{5}\,(3\mathbf{i}-4\mathbf{j})\]

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A unit vector in the \[xy-\]plane which is perpendicular to \[4\mathbf{i}-3\mathbf{j}+\mathbf{k}\] is [RPET 1991]

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