   Chapter 10.CT, Problem 22CT 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 cartesian space, the point form of a line is l : x ,   y ,   z = 2 + r ,   - 3 + 2 r ,   5 - 5 r .a) Find the point on the line for which r = - 3 .b) Does the point 6 ,   5 ,   - 12 lie on line l ?

To determine

(a)

To find:

The point on the line l:x, y, z=2+r, -3+2r, 5-5r for which r=-3.

Explanation

The given line is l:x, y, z=2+r, -3+2r, 5-5r.

Substitute r=-3.

x, y, z=2+-3, -3+2-3, 5-5-3

Simplifying,

x, y, z=2-3, -3</

To determine

(b)

To find:

Whether the point 6, 5, -12 lie on line l:x, y, z=2+r, -3+2r, 5-5r.

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