How to find a vector normal (perpendicular) to a plane given an equation for the plane.
How to write an equation for the coordinate planes or any plane that is parallel to one.
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 write the vector equation of a line.
How to identify parallel lines, a line parallel to a plane, and two parallel planes.
How to predict the direction of a vector.
How to express velocity as a vector.
Understanding the components of vectors.
How to express a vector algebraically in terms of the unit vectors i and j.
How to express a position vector algebraically in component form <a,b>, and how to compute its magnitude.
How to plot complex numbers on the complex plane.
How to solve position, velocity and acceleration problems using differentiation equations.
How to compute the sum of two vectors or the product of a scalar and a vector.
How to add vectors geometrically two ways.
Understanding the differences between vectors and scalar quantities.
How to compute the cross product of two 3D vectors.
How to describe and label point, line, and plane. How to define coplanar and collinear.
How to compute the dot product of two vectors.