How to express velocity as a vector.
How to solve position, velocity and acceleration problems using differentiation equations.
How to predict the direction of a vector.
How to estimate the instantaneous velocity of an object at t=2 by computing average velocities over shorter and shorter intervals of time.
How to calculate average velocity.
How to compute the average velocity of an object moving in one dimension.
How to find a vector normal (perpendicular) to a plane given an equation for the plane.
How to compute the angle between two vectors.
How to find instantaneous velocity.
How to write the vector equation of a line.
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 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 write equations describing motion in a straight line given the velocity and the position when t=0.
How to compute the dot product of two vectors.