   Chapter 10.6, Problem 7E 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

Line m is expressed in point form x ,   y ,   z = 2 + 3 n ,   4 - 5 n ,   5 + 2 n . Finda) a point of the line.b) a direction vector for the line.

To determine

(a)

To find:

A point of the line x, y, z=2+3n, 4-5n, 5+2n.

Explanation

The given point is x, y, z=2+3n, 4-5n, 5+2n.

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

Here x1, y1, z1 is the point on the line.

n is any real number

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

To determine

(b)

To find:

A direction vector for the line x, y, z=5, 3, -2+n1, 2, -2.

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