Mathematics

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 a. parallelogram, which is neither a rhombus nor a rectangle b. square c. rectangle, but not a square d. rhombus, but not a square