In Lecture 4, you will learn how to find equations for planes and determine if and where planes intersect each other using matrices. Equations of planes will be expressed in the form of AX + BY + CZ = D, where A, B, C, and D are numbers. The coefficients of X, Y, and Z give us the normal vector to the plane. By applying these concepts to linear systems, you will learn how to find the solution to a system of equations and what can happen when there is no solution, a line solution, or a plane solution.
Learn how to find equations for planes and determine if and where planes intersect each other using matrices.
Denis Auroux. 18.02 Multivariable Calculus, Fall 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare). http://ocw.mit.edu (Accessed March 15, 2009). License: Creative Commons Attribution-Noncommercial-Share Alike.