Find the area of the parallelogram whose diagonal are represented by the vectors

Question

Find the area of the parallelogram whose diagonal are represented by the vectors and .

Philoid · Accepted Answer

The diagonals are

Thus,

The area of the parallelogram = , where a and b are vectors of it’s adjacent sides.

Area =

Here,

We

have

⇒

Thus, substituting the values of ,

in equation (i) we get

⇒

⇒ sq units