A vector whose modulus is \[\sqrt{51}\] and makes the same angle with \[\mathbf{a}=\frac{\mathbf{i}-2\mathbf{j}+2\mathbf{k}}{3},\,\,\mathbf{b}=\frac{-\,4\mathbf{i}-3\mathbf{k}}{5}\] and \[\mathbf{c}=\mathbf{j},\] will be [Roorkee 1987]

\[5\mathbf{i}+5\mathbf{j}+\mathbf{k}\]

\[5\mathbf{i}+\mathbf{j}-5\mathbf{k}\]

\[5\mathbf{i}+\mathbf{j}+5\mathbf{k}\]

\[\pm \,(5\mathbf{i}-\mathbf{j}-5\mathbf{k})\]

A vector whose modulus is \[\sqrt{51}\] and makes the same angle with

1.	A vector whose modulus is \[\sqrt{51}\] and makes the same angle with \[\mathbf{a}=\frac{\mathbf{i}-2\mathbf{j}+2\mathbf{k}}{3},\,\,\mathbf{b}=\frac{-\,4\mathbf{i}-3\mathbf{k}}{5}\] and \[\mathbf{c}=\mathbf{j},\] will be [Roorkee 1987]
A.	\[5\mathbf{i}+5\mathbf{j}+\mathbf{k}\]
B.	\[5\mathbf{i}+\mathbf{j}-5\mathbf{k}\]
C.	\[5\mathbf{i}+\mathbf{j}+5\mathbf{k}\]
D.	\[\pm \,(5\mathbf{i}-\mathbf{j}-5\mathbf{k})\]
Answer» E.

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A vector whose modulus is \[\sqrt{51}\] and makes the same angle with \[\mathbf{a}=\frac{\mathbf{i}-2\mathbf{j}+2\mathbf{k}}{3},\,\,\mathbf{b}=\frac{-\,4\mathbf{i}-3\mathbf{k}}{5}\] and \[\mathbf{c}=\mathbf{j},\] will be [Roorkee 1987]

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