Objectives

After completing this module, you will be able to:

• represent vectors in the plane as directed line segments using appropriate notation and symbols

• represent vectors in component form, linear form, and trigonometric form and rewrite one form as another

• perform operations algebraically and graphically with vectors including adding and subtracting vectors and multiplying a vector by a scalar

• determine the magnitude and direction of a vector in component form, a vector scalar multiple, and the sum of two or more vectors

• solve mathematical and real-world problems involving velocity and other quantities and using the dot product and vector projections

• use matrices to represent and manipulate data

• multiply a matrix by a scalar and produce new matrices using scalar multiplication