Thornton & Marion, Classical Dynamics, Fifth Edition
Chapter 1. Matrices, Vectors, and Vector Calculus
Problem 08. An equation of a plane in vector form
The problem asks you to
show that the given equation is the equation of a plane.
This problem assumes
1) be a vector from the origin to a fixed point 2) be a vector from the origin to a variabel point
We should know about
the equation of a plane, which is the form of
Let the vector be
and the vector be Then, Thus, and it becomes It is the equation of a plane perpendicular to and passing through the point .