1.

The image of the point with position vector \[\mathbf{i}+3\mathbf{k}\]in the plane \[\mathbf{r}.(\mathbf{i}+\mathbf{j}+\mathbf{k})=1\]is [J & K 2005]

A.            \[\mathbf{i}+2\mathbf{j}+\mathbf{k}\]
B.            \[\mathbf{i}-2\mathbf{i}+\mathbf{k}\]
C.            \[-\mathbf{i}-2\mathbf{j}+\mathbf{k}\]
D.            \[\mathbf{i}+2\mathbf{j}-\mathbf{k}\]
Answer» D.            \[\mathbf{i}+2\mathbf{j}-\mathbf{k}\]


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