## Vectors in a plane

The scalar product or dot product of two vectors is a way to multiply two vectors together. The result you’ll get is a number, not a new vector. You can’t get a new vector when multiplying two vectors.

The scalar product is written with a bold dot (hence the word “dot product”). It’s given by:

The scalar product is among other thing used to determine angles between two vectors.

Two vectors are perpendicular if the scalar product is 0.

## Find the scalar product and the determinant of a vector

 Vector a Vector b x: y: