MATH 6A- Final Exam Guide - Comprehensive Notes for the exam ( 24 pages long!)
Document Summary
Standard cartesian coordinate system in two dimensions: denotes a set. The ordered pair can mean two different things. Vector that moves steps horizontally and steps vertically. Note: does not have to start at the origin. The vector representation starting at is called the position vector. Directed line segment is the collection of points on the line from point to point. Given a point and a vector , represents with. The distance between two points and in is. The length/magnitude/norm of a vector in is denoted and is defined to be the length of any directed line segment representing. Example: is represented by with and , or by with and. A vector of length is called a unit vector. We introduce special unit vectors and in and , , and in. We can rescale any vector to get a unit vector in that direction. The above remain true in a 3-dimensional space.
