# Thornton & Marion, Classical Dynamics, 5th 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

- be a vector from the origin to a fixed point
- 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 be

Then,

Thus,

It is the equation of a plane perpendicular to and passing through the point .