The position vector of the point in which the line joining the points \[\mathbf{i}-2\mathbf{j}+\mathbf{k}\] and \[3\mathbf{k}-2\mathbf{j}\] cuts the plane through the origin and the points \[4\mathbf{j}\] and \[2\mathbf{i}+\mathbf{k}\], is

\[-6\mathbf{i}+10\mathbf{j}-3\mathbf{k}\]

\[6\mathbf{i}-10\mathbf{j}+3\mathbf{k}\]

\[\frac{1}{5}(6\mathbf{i}-10\mathbf{j}+3\mathbf{k})\]

The position vector of the point in which the line joining the points

1.	The position vector of the point in which the line joining the points \[\mathbf{i}-2\mathbf{j}+\mathbf{k}\] and \[3\mathbf{k}-2\mathbf{j}\] cuts the plane through the origin and the points \[4\mathbf{j}\] and \[2\mathbf{i}+\mathbf{k}\], is
A.	\[6\mathbf{i}-10\mathbf{j}+3\mathbf{k}\]
B.	\[\frac{1}{5}(6\mathbf{i}-10\mathbf{j}+3\mathbf{k})\]
C.	\[-6\mathbf{i}+10\mathbf{j}-3\mathbf{k}\]
D.	None of these
Answer» C. \[-6\mathbf{i}+10\mathbf{j}-3\mathbf{k}\]

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The position vector of the point in which the line joining the points \[\mathbf{i}-2\mathbf{j}+\mathbf{k}\] and \[3\mathbf{k}-2\mathbf{j}\] cuts the plane through the origin and the points \[4\mathbf{j}\] and \[2\mathbf{i}+\mathbf{k}\], is

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