Lecture Number One Vector notation and application. Vectors have magnitude and direction. Position, velocity, acceleration, force, and torque are examples of vectors. The direction of vectors can be described using orthogonal direction unit vectors. The Unit Vector, l , is the unit-less vector describing the direction of the vector using the direction cosines.
Vector addition is a spatial operation.
Because vectors are described by direction as well as magnitude, their directions MUST be considered. The vertical and horizontal components of the resultant vector is the summation of the respective parts of the original vectors. Vector multiplication also requires some consideration of direction. However some operations are similar to non-vectors. Vectors can be multiplied by scalars.