   Chapter 11, Problem 42RE

Chapter
Section
Textbook Problem

# Finding Parametric and Symmetric Equations In Exercises 37 and 38, find sets of (a) parametric equations and (b) symmetric equations of the line that passes through the two points. (For each line, write the direction numbers as integers.) ( − 1 , 4 , 3 ) , ( 8 , 10 , 5 )

(a)

To determine

To calculate: The set of parametric equations of the line that passes through the point (1,4,3) and (8,10,5).

Explanation

Given:

The line passes through the points (1,4,3) and (8,10,5).

Formula used:

A line L parallel to v=a,b,c and passing through the point P(x1,y1,z1) is represented by the parametric equation:

x=x1+aty=y1+btz=z1+ct

Calculation:

Since the line L passes through points (1,4,3) and (8,10,5)

(b)

To determine

To calculate: The symmetric equation for the line passes through the points (1,4,3) and (8,10,5).

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