   Chapter 11.5, Problem 23E

Chapter
Section
Textbook Problem

# Using Parametric and Symmetric EquationsIn Exercises 25–28, find the coordinates of a point P on the line and a vector v parallel to the line. x − 7 4 = y + 6 2 = z + 2

To determine

To calculate: Find the coordinates of a point P on the line and the vector v parallel to the line x74=y+62=z+2.

Explanation

Given:

The equations of the lineare:

x74=y+62=z+2

Formula used:

The symmetric equations of a line are:

xx1a=yy1b=zz1c

Calculation:

As we know formula for symmetric equations of a line, x1,y1 and z1 are the coordinates of the point through which line is passing

Also denominators, that is a,b, and c are the parallel direction numbers to that line.

Equations for the line are:

x74=y+62=z+2

Standard symmetric equations of a line are,

xx1a=yy1b=zz1

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