Let and be the points on the plane with position vectors and

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Let

P, Q, R

and

S

be the points on the plane with position vectors

-2\hat{i} - \hat{j}, 4\hat{i}, 3\hat{i} + 3\hat{j}

and

-3\hat{i} + 2\hat{j}

, respectively. The quadrilateral

PQRS

must be a (1) parallelogram, which is neither a rhombus nor a rectangle (2) square (3) rectangle, but not a square (4) rhombus, but not a square