Find the area of the parallelogram determined by the vectors : and

Question

Philoid · Accepted Answer

Given two vectors and are sides of a parallelogram

Let and

Recall the area of the parallelogram whose adjacent sides are given by the two vectors and is where

Here, we have (a₁, a₂, a₃) = (2, 0, 0) and (b₁, b₂, b₃) = (0, 3, 0)

Recall the magnitude of the vector is

Now, we find.

Thus, area of the parallelogram is 6 square units.