# 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

##### Solution

Let the vector beand the vector be Then, Thus, and it becomes It is the equation of a plane perpendicular to and passing through the point .