Calculate the area of a parallelogram formed by vectors . vec A = 3vec i + 2vec j and vec B = - 3vec i + 7vec j

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

The area of the parallelogram of vector A and Vector B is find by the formula

Hence the area of a parallelogram is 27 sq units