   Chapter 10.6, Problem 10E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In point form (as in Exercise 7) find an equation for the line through the point 4 ,   1 ,   - 3 and parallel to the line that has the direction vector - 1 ,   2 ,   5 .

To determine

To find:

The equation for the line through the point 4, 1, -3 and parallel to the line that has the direction vector -1, 2, 5.

Explanation

The vector form of the line through P1x1, y1, z1 and P2x2, y2, z2 is given by the equation x, y,z=x1, y1, z1+na, b, c

In point form, the equation can be written as,

x, y,z=x1+na, y1+nb, z1+nc

Here x, y,z is the point on the line and n is any real number

a, b, c=x2-x1, y2-y1, z2-z1 is the direction vector

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