   Chapter 10.6, Problem 50E 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

Determine the point of intersection, if such a point exists, for the line l ,   x ,   y ,   z = 3 ,   - 1 ,   7 + n - 5 ,   2 ,   1 , and the plane 2 x + 3 y + 4 z = 24 .

To determine

The point of intersection, if such a point exists, for the line 𝓁, x, y, z=3, -1, 7+r-5, 2, 1, and the plane 2x+3y+4z=24.

Explanation

The given line equation is,

x, y, z=3, -1, 7+r-5, 2, 1

Writing this equation in point form.

x, y, z=3-5r, -1+2r, 7+r

From this,

x=3-5r

y=-1+2r

z=7+r

Substitute the values of x, y, z in the plane equation

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