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

Question

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

TestHub · Accepted Answer

m PQ ​ = 6 1 ​ , m SR ​ = 6 1 ​ , m RQ ​ = − 3 , m SP ​ = − 3 ⇒ Parallelogram But neither PR = SQ nor PR ⊥ SQ . ∴ Parallelogram, which is neither a rhombus nor a rectangle.

Mathematics - Vector Question with Solution | TestHub

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