   Chapter 12, Problem 18RCC

Chapter
Section
Textbook Problem

# What are the traces of a surface? How do you find them?

To determine

To explain and find: The traces of a surface.

Explanation

The curves are known as traces or cross-sections of surface.

The traces of a surface are the curves of intersection of planes with the parallel coordinate planes.

Calculation of trace in the plane x=k:

Consider a plane x=k. Here the term k is a scalar parameter (constant value).

The plane x=k is parallel to the yz-plane.

The trace in the plane x=k is determined by substituting k for x-coordinate and determining the curve represented by the resulting equation.

Calculation of trace in the plane y=k:

Consider a plane y=k

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