   Chapter 12, Problem 16RQ

Chapter
Section
Textbook Problem

# Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.16. A linear equation Ax + By + Cz + D = 0 represents a line in space.

To determine

The statement, a linear equation Ax+By+Cz+D=0 represents line in space is true or false.

Explanation

Definition:

Representation of plane:

Write the linear equation to represent a plane.

ax+by+cz+d=0 (1)

Here,

a, b, c, and d are scalars, and

x, y, and z are coordinates.

Compare the linear equation Ax+By+Cz+D=0 with equation (1)

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