Precalculus with Limits: A Graphing Approach
Precalculus with Limits: A Graphing Approach
7th Edition
ISBN: 9781305071711
Author: Ron Larson
Publisher: Brooks/Cole
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Question
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Chapter 10, Problem 56RE

(a)

To determine

To find: The set of parametric equation.

(a)

Expert Solution
Check Mark

Answer to Problem 56RE

The set of parametric equation are x=2t , y=1+52t and z=7+t .

Explanation of Solution

Given information:

The given points is p(0,1,7) , v=(−2,52,1)

Calculation:

Consider the set of parametric equation of a line.

  a=−2 , b=52 and c=1 with the initial points p(0,1,7) .

Calculate the equation.

  x=x1+at=0−2t=2ty=y1+bt=1+52t

And

  z=z1+ct=7+1t

Therefore, the set of parametric equation are x=2t , y=1+52t and z=7+t .

(b)

To determine

To find: The set of symmetric equation for the line.

(b)

Expert Solution
Check Mark

Answer to Problem 56RE

The symmetric sets are (x,y,z)=x−2=2(y−1)5=z−7 .

Explanation of Solution

Given information:

The given points is p(0,1,7) , v=(−2,52,1)

Calculation:

Consider the symmetric equation of a line, since a , b and c are all non-zero,

  x−x1a=y−y1b=z−z1c

Substitute the values.

  x−2=2(y−1)5=z−71

Therefore, the symmetric sets are (x,y,z)=x−2=2(y−1)5=z−7 .

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Chapter 10, Problem 55RE
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Chapter 10, Problem 57RE

Chapter 10 Solutions

Precalculus with Limits: A Graphing Approach

Ch. 10.1 - Prob. 1ECh. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Prob. 8ECh. 10.1 - Prob. 9ECh. 10.1 - Prob. 10E
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