   Chapter 12, Problem 16RE

Chapter
Section
Textbook Problem

Find parametric equations for the line.16. The line through (1, 0, −1) and parallel to the line 1 3 (x − 4) = 1 2 y = z + 2

To determine

To find: The parametric equations for the line through the point (1,0,1) and parallel to the line 13(x4)=12y=z+2.

Explanation

Formula used:

Write the expressions to find the parametric equations for a line through the point (x0,y0,z0) and parallel to the direction vector a,b,c.

x=x0+at,y=y0+bt,z=z0+ct (1)

The parallel line is also written as follows:

x43=y2=z+21

From the parallel line x43=y2=z+21, it is clear that the direction vector (v) is 3,2,1

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