# Using Vector Cross product to find Area of a Parallelogram

Let’s see how to use the *Vector Cross product* to find the Area of a Parallelogram. **Here we will see that the magnitude of the cross product of vector AB and AC gives the area of the parallelogram ABCD.** (reference: the image below)

**ABCD** is a parallelogram and its area is twice the area of the **ABC** triangle.

As **Area of ABC triangle = (½) | AB x AC |, (see the proof: here) **hence we can represent the area of ABCD as per the following way:

Area of ABCD = 2 . Area of ABC = 2. (½) | AB x AC| = | AB x AC|

**Here we can see that the magnitude of the cross product of vector AB and AC gives the area of the parallelogram ABCD.**