If $P,Q,R$ and $S$ are four points in space, then $\left| \ \overrightarrow{\mathbf{PQ}}\mathbf{ imes}\overrightarrow{\mathbf{RS}}\mathbf{+}\overrightarrow{\mathbf{QR}}\mathbf{ imes}\overrightarrow{\mathbf{SP}}\mathbf{+}\overrightarrow{\mathbf{RS}}\mathbf{ imes}\overrightarrow{\mathbf{QS}} ight| = k$ (area of $\mathrm{\Delta}PQR)$. The value of $k$ is

Question

If $P,Q,R$ and $S$ are four points in space, then $\left| \ \overrightarrow{\mathbf{PQ}}\mathbf{	imes}\overrightarrow{\mathbf{RS}}\mathbf{+}\overrightarrow{\mathbf{QR}}\mathbf{	imes}\overrightarrow{\mathbf{SP}}\mathbf{+}\overrightarrow{\mathbf{RS}}\mathbf{	imes}\overrightarrow{\mathbf{QS}} ight| = k$ (area of $\mathrm{\Delta}PQR)$. The value of $k$ is

Dr. Abubacker · Accepted Answer

The correct answer is Option C: 4.

Explanation

Reviewed by Dr. Abubacker

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