In this page, you will learn about computing area of a parallelogram using vector cross product.

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Vector cross product is understood as product between components in perpendicular. in the figure, What is the magnitude of `vec p xx vec q` ?

- the area of the parallelogram OLMN
- the area of the parallelogram OLMN
- the perimeter of the parallelogram OLMN

The answer is 'the area of the parallelogram OLMN'.

Area of a parallelogram = base `xx` height

The base is `|p|` and the height is `|b|`.

Vector cross product can be used to find **area of the Parallelogram** made by two vectors.

**Area of a Parallelogram made by two vectors: ** Given `vec p` and `vec q`, the area of the parallelogram made by them is

`= |vec p xx vec q|`

*Solved Exercise Problem: *

Two vectors `vec p` and `vec q` with magnitudes `2` and `3` respectively are at an angle `30^@`. What is the area of the parallelogram made by `vec p` and `vec q`?

- `2 xx 3 xx sin 30^@`
- `2 xx 3 xx 1/2`
- `3`
- all the above
- all the above

The answer is 'All the above'

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