Introduction
There are two kinds of multiplication involving vectors. The first is known as the scalar product or dot product . This is so-called because when the scalar product of two vectors is calculated the result is a scalar. The second product is known as the vector product . When this is calculated the result is a vector. The definitions of these products may seem rather strange at first, but they are widely used in applications. In this Section we consider only the scalar product.
Prerequisites
- know that a vector can be represented as a directed line segment
- know how to express a vector in Cartesian form
- know how to find the modulus of a vector
Learning Outcomes
- calculate, from its definition, the scalar product of two given vectors
- calculate the scalar product of two vectors given in Cartesian form
- use the scalar product to find the angle between two vectors
- use the scalar product to test whether two vectors are perpendicular