# Lecture 4: Square systems and equations of planes.

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Lesson Description:

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.

• What are square systems?
• How do you write an equation of a plane through a point given a normal vector??
• How can you determine if two vectors are parallel or perpendicular?
• How can you determine if a vector is parallel or perpendicular to a plane?
• How can you solve a 3x3 linear system?
• How can you find where three planes intersect?
• How do you find the inverse of a matrix?
• When does a matrix have an inverse?
• What are square systems?
• How do you write an equation of a plane through a point given a normal vector??
• How can you determine if two vectors are parallel or perpendicular?
• How can you determine if a vector is parallel or perpendicular to a plane?
• How can you solve a 3x3 linear system?
• How can you find where three planes intersect?
• How do you find the inverse of a matrix?
• When does a matrix have an inverse?
• #### Staff Review

• Currently 4.0/5 Stars.
This video explains some very good examples of finding equations for planes given a point and a normal vector. This is a very practical, useful lecture. Also, you will learn how to find where planes and vectors intersect as well as where two or three planes intersect.