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$P,Q,R$ and $S$ are four points with the position vectors $3 \overrightarrow {i}- 4 \overrightarrow {j}+5 \overrightarrow {k}, 4 \overrightarrow {k},-4 \overrightarrow {i}+ 5\overrightarrow {j}+\overrightarrow {k}$ and $-3\overrightarrow {i}+ 4\overrightarrow {j}+3 \overrightarrow {k}$ respectively. Then the line $PQ$ meets the line RS at the point.

\[(a)\;3 \overrightarrow {i}+4 \overrightarrow {j}+3 \overrightarrow {k} \quad (b)\;-3 \overrightarrow {i}+4 \overrightarrow {j}+3 \overrightarrow {k} \quad (c)\;-\overrightarrow {i}+ 4 \overrightarrow {j}+\overrightarrow {k} \quad (d)\;\overrightarrow {i}+\overrightarrow {j}+\overrightarrow {k}\]
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$(b)\;-3 \overrightarrow {i}+4 \overrightarrow {j}+3 \overrightarrow {k}$
answered Nov 7, 2013 by pady_1

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