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High School Math Calculus PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

a set of parametric equations of the line .

a set of parametric equations of the line .

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

8th Edition

ISBN: 9781337904285

Author: Larson

Publisher: CENGAGE L

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In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied unde…

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Question

Chapter 10, Problem 10CT

(a)

To determine

To find: a set of parametric equations of the line .

(a)

Expert Solution

Answer to Problem 10CT

x=8−2t,y=−2+6t,z=5−6t

Explanation of Solution

Given information : The line passes through points A(8,-2,5) and B (6,4,-1)

Calculation:

We know that the parametric equation of line passing through (x1,y1,z1) and (x2,y2,z2) is

x=x1+t(x2−x1),y=y1+t(y2−y1),z=z1+t(z2−z1)

Therefore, parametric equation of line passing through the points A(8,-2,5) and B(6,4,-1) is

x=8+t(6−8),y=−2+t(4+2),z=5+t(−1−5)x=8−2t,y=−2+6t,z=5−6t

(b)

To determine

To find: a set of symmetric equation of the line.

(b)

Expert Solution

Answer to Problem 10CT

x−81=y+2−3=z−53

Explanation of Solution

Given information : The line passes through points A(8,-2,5) and B (6,4,-1)

Calculation:

We know that the symmetric equation of line passing through (x1,y1,z1) and (x2,y2,z2) is

x−x1x2−x1=y−y1y2−y1=z−z1z2−z1

Therefore, symmetric equation of line passing through the points A(8,-2,5) and B(6,4,-1) is

x−86−8=y+24+2=z−5−1−5x−8−2=y+26=z−5−6x−81=y+2−3=z−53

Chapter 10, Problem 9CT

Chapter 10, Problem 11CT

Chapter 10 Solutions

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

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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