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High School Math Calculus Precalculus with Limits: A Graphing Approach

The set of parametric equation.

The set of parametric equation.

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

Chapter 10, Problem 56RE

(a)

To determine

To find: The set of parametric equation.

(a)

Expert Solution

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

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 .

Chapter 10, Problem 55RE

Chapter 10, Problem 57RE

Chapter 10 Solutions

Precalculus with Limits: A Graphing Approach

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

Ch. 10.1 - Prob. 11E Ch. 10.1 - Prob. 12E Ch. 10.1 - Prob. 13E Ch. 10.1 - Prob. 14E Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Prob. 17E Ch. 10.1 - Prob. 18E Ch. 10.1 - Prob. 19E Ch. 10.1 - Prob. 20E Ch. 10.1 - Prob. 21E Ch. 10.1 - Prob. 22E Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Prob. 25E Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - Prob. 32E Ch. 10.1 - Prob. 33E Ch. 10.1 - Prob. 34E Ch. 10.1 - Prob. 35E Ch. 10.1 - Prob. 36E Ch. 10.1 - Prob. 37E Ch. 10.1 - Prob. 38E Ch. 10.1 - Prob. 39E Ch. 10.1 - Prob. 40E Ch. 10.1 - Prob. 41E Ch. 10.1 - Prob. 42E Ch. 10.1 - Prob. 43E Ch. 10.1 - Prob. 44E Ch. 10.1 - Prob. 45E Ch. 10.1 - Prob. 46E Ch. 10.1 - Prob. 47E Ch. 10.1 - Prob. 48E Ch. 10.1 - Prob. 49E Ch. 10.1 - Prob. 50E Ch. 10.1 - Prob. 51E Ch. 10.1 - Prob. 52E Ch. 10.1 - Prob. 53E Ch. 10.1 - Prob. 54E Ch. 10.1 - Prob. 55E Ch. 10.1 - Prob. 56E Ch. 10.1 - Prob. 57E Ch. 10.1 - Prob. 58E Ch. 10.1 - 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