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Let P, Q, R and S be the points on the plane with position vectors -2hati-hatj, 4hati, 3hati+3hatj and -3hati+2hatj respectively. The quadrilateral PQRS must be a |
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Answer» parallelogram, which is NEITHER a rhombus nor a ractangle `QR=-hat(i)+3hat(j)` `RS=-6hat(i)-hat(j)` `SP=hat(i)-3hat(j)` `rArr |PQ|=sqrt(37)=|RS|` `|QR|=sqrt(10)=|SP|` `therefore PQ.QR=-6+3=-3 NE 0` . |
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