If p,q and r are non-zero, non-coplanar vectors then [p+q-r p-q q-r]= . . .A. 3[p q r]B. 0C. [p q r]D. 2[p q r]

If p,q and r are non-zero, non-coplanar vectors then [p+q-r p-q q-r]=

1.	If p,q and r are non-zero, non-coplanar vectors then [p+q-r p-q q-r]= . . .A. 3[p q r]B. 0C. [p q r]D. 2[p q r]
Answer» Correct Answer - C Given, p, q and r are non-zero coplaner vectors. `therefore[p+q-r p-qq-r]` `=(p+q-r)dot[(p-q)xx(q-r)]` `=(p+q-r)dot[pxxq-pxxr-qxxq+qxxr]` `=(p+q-r).[pxxq-pxxr+qxxr](becauseqxxq=0)` `=p.(pxxq)-p.(pxxr)+pdot(qxxr)+qdot(pxxq)-rdot(pxxq)-rdot(pxxr)+rdot(qxxr)` `=[pqr]-[qpr]-[rpq]` `=[pqr]+[pqr]-[pqr]` `=2[pqr]-[pqr]=[pqr]`

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If p,q and r are non-zero, non-coplanar vectors then [p+q-r p-q q-r]= . . .A. 3[p q r]B. 0C. [p q r]D. 2[p q r]

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