How to compute the angle between two vectors.
How to find the angle between planes, and how to determine if two planes are parallel or perpendicular.
How to find a vector normal (perpendicular) to a plane given an equation for the plane.
How to predict the direction of a vector.
How to express velocity as a vector.
Understanding the components of vectors.
Understanding the differences between vectors and scalar quantities.
How to express a vector algebraically in terms of the unit vectors i and j.
How to determine whether lines are parallel, perpendicular, or neither.
How to construct a perpendicular line at a point on a line.
How to construct a midpoint and how to define a perpendicular bisector.
How to write the vector equation of a line.
How to compute the sum of two vectors or the product of a scalar and a vector.
How to add vectors geometrically two ways.
How to find the shortest distance between a point and a line.
How to define an angle of elevation or an angle of depression.
How to determine whether two lines in space are parallel or perpendicular.