This document discusses vectors and vector operations algebraically. It defines a vector as an ordered pair representing an initial and terminal point, with magnitude found using the Pythagorean theorem. Vector addition and subtraction are defined as adding or subtracting the corresponding components of each vector. Scalar multiplication multiplies each component by the scalar value. A unit vector has a magnitude of 1 and any vector can be written as the sum of its components multiplied by the appropriate unit vectors. Homework problems provide practice applying these vector concepts and operations.