Question

Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer algebra system or a graphing utility to verify your result.

U = j

V = j + k

Answer 1

Step 1:

The vectors are and .

These vectors are the adjacent sides of the parallelogram.

If u and v are the adjacent sides, then the area of the parallelogram is .

Definition of cross product :

The cross product of and , then

The cross product of and is

.

.

The area of the parallelogram is 1.

Solution :

The area of the parallelogram is 1.