Let P, Q, R and S be the points on the plane with position vectors -2 i - j, 4 i, 3 i + 3 j and -3 i + 2 j respectively. The quadrilateral PQRS must be a

JEE Advanced 2010 Mathematics question

Let P, Q, R and S be the points on the plane with position vectors , , and respectively. The quadrilateral PQRS must be a

Answer: (A)

and . Since , PQRS is a parallelogram. Adjacent side $ = (-3 i + 2 j) - (-2 i - j)

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Question ID VK-025765