Representation of Vectors

Vectors can be represented in many ways, for example , , a.

This course prefers: .

Unit Vectors

Unit vectors are vectors with a magnitude of 1.

has the magnitude of 1, and travels in the direction.

has the magnitude of 1, and travels in the z direction.

Draw each vector from tail to head, starting at the head of the previous vector (or at the origin)

Since, is the same as , we can apply the same principals to vector subtraction, by adding the negative of a vector.

A vector of dimensions gives scalar equations.

As such, we can split each dimension into their own equations.