In this lesson on vector, we’ll talk about the scalar product of vectors.

### How to represent scalar product in Math

We use a ⚫ to represent scalar product, hence, they are sometimes also called dot product.

### Definition of scalar product

When we take the scalar product of vector **a** and **b**, we are essentially doing this:

Note that |a||b| cos θ gives a value (numerical value). Hence, the result of a scalar product is a numerical value.

### Finding scalar product of vectors expressed in x, y, z- coordinates form

If the vectors are expressed in x, y, z- coordinates form, the scalar product could be found in this manner:

### Useful results of scalar product

- Since the same vectors are parallel to each other, and hence angle between them is 0 (i.e. cos0ᵒ = 1) , a . a = |a|²
- Dot product of perpendicular vectors will give 0 (since cos 90ᵒ = 0).
- To find the angle between 2 vectors, we can use the formula cosθ = (a. b )/( |a| |b| )

## Notes on H2 Math Vectors

You’ll find all the notes on H2 A Level Math Vectors topic here.

## All the notes for H2 A Level Math

Go here to find all the notes and resources for H2 A level Math.