Vectors describe movement with both direction and magnitude. They can be added or subtracted to produce resultant vectors. The scalar product can be used to find the angle between vectors.

OABC is a parallelogram. \(\overrightarrow{OA}\) is represented by the vector \(\mathbf{a}\) and \(\overrightarrow{OC}\) is represented by the vector \(\mathbf{c}\). M is the mid-point of BC and N is ...