Skip to main content

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

The set of parametric equations.

The set of parametric equations.

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

8th Edition

ISBN: 9781337904285

Author: Larson

Publisher: CENGAGE L

See similar textbooks

Videos

Question

Chapter 10.4, Problem 16E

(a)

To determine

To find:The set of parametric equations.

(a)

Expert Solution

Answer to Problem 16E

Theparametric equations are x=2 , y=−1+2t and z=5−8t .

Explanation of Solution

Given information:The points are (2,−1,5) and (2,1,−3) .

Formula used: The parametric equations for the line parallel to vector v=〈a, b, c〉 and passing through the point (x1, y1, z1) are given by,

x=x1+at , y=y1+bt and z=z1+ct

Calculation:

The direction vector can be obtained by the given two points as:

v=〈2−2,1+1,−3−5〉=〈0,2,−8〉

So, the normal vector is v=〈0,2,−8〉 and point on the plane is (2,−1,5) .

Substitute 2 for x1 and 0 for a in the equation x=x1+at .

x=2+(0)t=2

Substitute −1 for y1 and 2 for b in the equation y=y1+bt .

y=−1+2t

Substitute 5 for z1 and −8 for c in the equation z=z1+ct .

z=5−8t

Therefore, the set of parametric equations are x=2 , y=−1+2t and z=5−8t .

(b)

To determine

To find:The set of symmetric equations for the line passes through the two points (2,−1,5) and (2,1,−3) .

(b)

Expert Solution

Answer to Problem 16E

Theset of symmetric equation of line is not possible.

Explanation of Solution

Given information:The points are (2,−1,5) and (2,1,−3) .

Calculation:

The normal vector is v=〈0,2,−8〉 and point on the plane is (2,−1,5) . It can be observed that the direction numbers are not all non-zero. So, the symmetric equation of line is not possible.

Therefore, the set of symmetric equation of line is not possible.

Chapter 10.4, Problem 15E

Chapter 10.4, Problem 17E

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 - Prob. 59E Ch. 10.1 - Prob. 60E Ch. 10.1 - Prob. 61E Ch. 10.1 - Prob. 62E Ch. 10.1 - Prob. 63E Ch. 10.1 - Prob. 64E Ch. 10.1 - Prob. 65E Ch. 10.1 - Prob. 66E Ch. 10.1 - Prob. 67E Ch. 10.1 - Prob. 68E Ch. 10.1 - Prob. 69E Ch. 10.1 - Prob. 70E Ch. 10.1 - Prob. 71E Ch. 10.1 - Prob. 72E Ch. 10.1 - Prob. 73E Ch. 10.1 - Prob. 74E Ch. 10.1 - Prob. 75E Ch. 10.1 - Prob. 76E Ch. 10.1 - Prob. 77E Ch. 10.1 - Prob. 78E Ch. 10.1 - Prob. 79E Ch. 10.1 - Prob. 80E Ch. 10.1 - Prob. 81E Ch. 10.1 - Prob. 82E Ch. 10.1 - Prob. 83E Ch. 10.1 - Prob. 84E Ch. 10.1 - Prob. 85E Ch. 10.1 - Prob. 86E Ch. 10.1 - Prob. 87E Ch. 10.1 - Prob. 88E Ch. 10.1 - Prob. 89E Ch. 10.1 - Prob. 90E Ch. 10.1 - Prob. 91E Ch. 10.1 - Prob. 92E Ch. 10.1 - Prob. 93E Ch. 10.1 - Prob. 94E Ch. 10.1 - Prob. 95E Ch. 10.1 - Prob. 96E Ch. 10.1 - Prob. 97E Ch. 10.1 - Prob. 98E Ch. 10.1 - Prob. 99E Ch. 10.1 - Prob. 100E Ch. 10.1 - Prob. 101E Ch. 10.1 - Prob. 102E Ch. 10.1 - Prob. 103E Ch. 10.1 - Prob. 104E Ch. 10.2 - Prob. 1E Ch. 10.2 - Prob. 2E Ch. 10.2 - Prob. 3E Ch. 10.2 - Prob. 4E Ch. 10.2 - Prob. 5E Ch. 10.2 - Prob. 6E Ch. 10.2 - Prob. 7E Ch. 10.2 - Prob. 8E Ch. 10.2 - Prob. 9E Ch. 10.2 - Prob. 10E Ch. 10.2 - Prob. 11E Ch. 10.2 - Prob. 12E Ch. 10.2 - Prob. 13E Ch. 10.2 - Prob. 14E Ch. 10.2 - Prob. 15E Ch. 10.2 - Prob. 16E Ch. 10.2 - Prob. 17E Ch. 10.2 - Prob. 18E Ch. 10.2 - Prob. 19E Ch. 10.2 - Prob. 20E Ch. 10.2 - Prob. 21E Ch. 10.2 - Prob. 22E Ch. 10.2 - Prob. 23E Ch. 10.2 - Prob. 24E Ch. 10.2 - Prob. 25E Ch. 10.2 - Prob. 26E Ch. 10.2 - Prob. 27E Ch. 10.2 - Prob. 28E Ch. 10.2 - Prob. 29E Ch. 10.2 - Prob. 30E Ch. 10.2 - Prob. 31E Ch. 10.2 - Prob. 32E Ch. 10.2 - Prob. 33E Ch. 10.2 - Prob. 34E Ch. 10.2 - Prob. 35E Ch. 10.2 - Prob. 36E Ch. 10.2 - Prob. 37E Ch. 10.2 - Prob. 38E Ch. 10.2 - Prob. 39E Ch. 10.2 - Prob. 40E Ch. 10.2 - Prob. 41E Ch. 10.2 - Prob. 42E Ch. 10.2 - Prob. 43E Ch. 10.2 - Prob. 44E Ch. 10.2 - Prob. 45E Ch. 10.2 - Prob. 46E Ch. 10.2 - Prob. 47E Ch. 10.2 - Prob. 48E Ch. 10.2 - Prob. 49E Ch. 10.2 - Prob. 50E Ch. 10.2 - Prob. 51E Ch. 10.2 - Prob. 52E Ch. 10.2 - Prob. 53E Ch. 10.2 - Prob. 54E Ch. 10.2 - Prob. 55E Ch. 10.2 - Prob. 56E Ch. 10.2 - Prob. 57E Ch. 10.2 - Prob. 58E Ch. 10.2 - Prob. 59E Ch. 10.2 - Prob. 60E Ch. 10.2 - Prob. 61E Ch. 10.2 - Prob. 62E Ch. 10.2 - Prob. 63E Ch. 10.2 - Prob. 64E Ch. 10.2 - Prob. 65E Ch. 10.2 - Prob. 66E Ch. 10.2 - Prob. 67E Ch. 10.2 - Prob. 68E Ch. 10.2 - Prob. 69E Ch. 10.2 - Prob. 70E Ch. 10.2 - Prob. 71E Ch. 10.2 - Prob. 72E Ch. 10.2 - Prob. 73E Ch. 10.3 - Prob. 1E Ch. 10.3 - Prob. 2E Ch. 10.3 - Prob. 3E Ch. 10.3 - Prob. 4E Ch. 10.3 - Prob. 5E Ch. 10.3 - Prob. 6E Ch. 10.3 - Prob. 7E Ch. 10.3 - Prob. 8E Ch. 10.3 - Prob. 9E Ch. 10.3 - Prob. 10E Ch. 10.3 - Prob. 11E Ch. 10.3 - Prob. 12E Ch. 10.3 - Prob. 13E Ch. 10.3 - Prob. 14E Ch. 10.3 - Prob. 15E Ch. 10.3 - Prob. 16E Ch. 10.3 - Prob. 17E Ch. 10.3 - Prob. 18E Ch. 10.3 - Prob. 19E Ch. 10.3 - Prob. 20E Ch. 10.3 - Prob. 21E Ch. 10.3 - Prob. 22E Ch. 10.3 - Prob. 23E Ch. 10.3 - Prob. 24E Ch. 10.3 - Prob. 25E Ch. 10.3 - Prob. 26E Ch. 10.3 - Prob. 27E Ch. 10.3 - Prob. 28E Ch. 10.3 - Prob. 29E Ch. 10.3 - Prob. 30E Ch. 10.3 - Prob. 31E Ch. 10.3 - Prob. 32E Ch. 10.3 - Prob. 33E Ch. 10.3 - Prob. 34E Ch. 10.3 - Prob. 35E Ch. 10.3 - Prob. 36E Ch. 10.3 - Prob. 37E Ch. 10.3 - Prob. 38E Ch. 10.3 - Prob. 39E Ch. 10.3 - Prob. 40E Ch. 10.3 - Prob. 41E Ch. 10.3 - Prob. 42E Ch. 10.3 - Prob. 43E Ch. 10.3 - Prob. 44E Ch. 10.3 - Prob. 45E Ch. 10.3 - Prob. 46E Ch. 10.3 - Prob. 47E Ch. 10.3 - Prob. 48E Ch. 10.3 - Prob. 49E Ch. 10.3 - Prob. 50E Ch. 10.3 - Prob. 51E Ch. 10.3 - Prob. 52E Ch. 10.3 - Prob. 53E Ch. 10.3 - Prob. 54E Ch. 10.3 - Prob. 55E Ch. 10.3 - Prob. 56E Ch. 10.3 - Prob. 57E Ch. 10.3 - Prob. 58E Ch. 10.3 - Prob. 59E Ch. 10.3 - Prob. 60E Ch. 10.3 - Prob. 61E Ch. 10.3 - Prob. 62E Ch. 10.3 - Prob. 63E Ch. 10.3 - Prob. 64E Ch. 10.3 - Prob. 65E Ch. 10.3 - Prob. 66E Ch. 10.3 - Prob. 67E Ch. 10.3 - Prob. 68E Ch. 10.3 - Prob. 69E Ch. 10.3 - Prob. 70E Ch. 10.3 - Prob. 71E Ch. 10.3 - Prob. 72E Ch. 10.3 - Prob. 73E Ch. 10.3 - Prob. 74E Ch. 10.4 - Prob. 1E Ch. 10.4 - Prob. 2E Ch. 10.4 - Prob. 3E Ch. 10.4 - Prob. 4E Ch. 10.4 - Prob. 5E Ch. 10.4 - Prob. 6E Ch. 10.4 - Prob. 7E Ch. 10.4 - Prob. 8E Ch. 10.4 - Prob. 9E Ch. 10.4 - Prob. 10E Ch. 10.4 - Prob. 11E Ch. 10.4 - Prob. 12E Ch. 10.4 - Prob. 13E Ch. 10.4 - Prob. 14E Ch. 10.4 - Prob. 15E Ch. 10.4 - Prob. 16E Ch. 10.4 - Prob. 17E Ch. 10.4 - Prob. 18E Ch. 10.4 - Prob. 19E Ch. 10.4 - Prob. 20E Ch. 10.4 - Prob. 21E Ch. 10.4 - Prob. 22E Ch. 10.4 - Prob. 23E Ch. 10.4 - Prob. 24E Ch. 10.4 - Prob. 25E Ch. 10.4 - Prob. 26E Ch. 10.4 - Prob. 27E Ch. 10.4 - Prob. 28E Ch. 10.4 - Prob. 29E Ch. 10.4 - Prob. 30E Ch. 10.4 - Prob. 31E Ch. 10.4 - Prob. 32E Ch. 10.4 - Prob. 33E Ch. 10.4 - Prob. 34E Ch. 10.4 - Prob. 35E Ch. 10.4 - Prob. 36E Ch. 10.4 - Prob. 37E Ch. 10.4 - Prob. 38E Ch. 10.4 - Prob. 39E Ch. 10.4 - Prob. 40E Ch. 10.4 - Prob. 41E Ch. 10.4 - Prob. 42E Ch. 10.4 - Prob. 43E Ch. 10.4 - Prob. 44E Ch. 10.4 - Prob. 45E Ch. 10.4 - Prob. 46E Ch. 10.4 - Prob. 47E Ch. 10.4 - Prob. 48E Ch. 10.4 - Prob. 49E Ch. 10.4 - Prob. 50E Ch. 10.4 - Prob. 51E Ch. 10.4 - Prob. 52E Ch. 10.4 - Prob. 53E Ch. 10.4 - Prob. 54E Ch. 10.4 - Prob. 55E Ch. 10.4 - Prob. 56E Ch. 10.4 - Prob. 57E Ch. 10.4 - Prob. 58E Ch. 10.4 - Prob. 59E Ch. 10.4 - Prob. 60E Ch. 10.4 - Prob. 61E Ch. 10.4 - Prob. 62E Ch. 10.4 - Prob. 63E Ch. 10.4 - Prob. 64E Ch. 10.4 - Prob. 65E Ch. 10 - Prob. 1CR Ch. 10 - Prob. 2CR Ch. 10 - Prob. 3CR Ch. 10 - Prob. 4CR Ch. 10 - Prob. 5CR Ch. 10 - Prob. 6CR Ch. 10 - Prob. 7CR Ch. 10 - Prob. 8CR Ch. 10 - Prob. 9CR Ch. 10 - Prob. 10CR Ch. 10 - Prob. 11CR Ch. 10 - Prob. 12CR Ch. 10 - Prob. 13CR Ch. 10 - Prob. 14CR Ch. 10 - Prob. 15CR Ch. 10 - Prob. 16CR Ch. 10 - Prob. 17CR Ch. 10 - Prob. 18CR Ch. 10 - Prob. 19CR Ch. 10 - Prob. 20CR Ch. 10 - Prob. 21CR Ch. 10 - Prob. 22CR Ch. 10 - Prob. 23CR Ch. 10 - Prob. 24CR Ch. 10 - Prob. 25CR Ch. 10 - Prob. 26CR Ch. 10 - Prob. 27CR Ch. 10 - Prob. 28CR Ch. 10 - Prob. 29CR Ch. 10 - Prob. 30CR Ch. 10 - Prob. 31CR Ch. 10 - Prob. 32CR Ch. 10 - Prob. 33CR Ch. 10 - Prob. 34CR Ch. 10 - Prob. 35CR Ch. 10 - Prob. 36CR Ch. 10 - Prob. 37CR Ch. 10 - Prob. 38CR Ch. 10 - Prob. 39CR Ch. 10 - Prob. 40CR Ch. 10 - Prob. 41CR Ch. 10 - Prob. 42CR Ch. 10 - Prob. 43CR Ch. 10 - Prob. 44CR Ch. 10 - Prob. 45CR Ch. 10 - Prob. 46CR Ch. 10 - Prob. 47CR Ch. 10 - Prob. 48CR Ch. 10 - Prob. 49CR Ch. 10 - Prob. 50CR Ch. 10 - Prob. 51CR Ch. 10 - Prob. 52CR Ch. 10 - Prob. 53CR Ch. 10 - Prob. 54CR Ch. 10 - Prob. 55CR Ch. 10 - Prob. 56CR Ch. 10 - Prob. 57CR Ch. 10 - Prob. 58CR Ch. 10 - Prob. 59CR Ch. 10 - Prob. 60CR Ch. 10 - Prob. 61CR Ch. 10 - Prob. 62CR Ch. 10 - Prob. 63CR Ch. 10 - Prob. 64CR Ch. 10 - Prob. 1CT Ch. 10 - Prob. 2CT Ch. 10 - Prob. 3CT Ch. 10 - Prob. 4CT Ch. 10 - Prob. 5CT Ch. 10 - Prob. 6CT Ch. 10 - Prob. 7CT Ch. 10 - Prob. 8CT Ch. 10 - Prob. 9CT Ch. 10 - Prob. 10CT Ch. 10 - Prob. 11CT Ch. 10 - Prob. 12CT Ch. 10 - Prob. 13CT Ch. 10 - Prob. 14CT Ch. 10 - Prob. 15CT Ch. 10 - Prob. 16CT Ch. 10 - Prob. 17CT Ch. 10 - Prob. 18CT Ch. 10 - Prob. 19CT

Knowledge Booster

Background pattern image

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

SEE MORE QUESTIONS

Recommended textbooks for you

Calculus: Early Transcendentals
Calculus
ISBN:9781285741550
Author:James Stewart
Publisher:Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Precalculus
Calculus
ISBN:9780135189405
Author:Michael Sullivan
Publisher:PEARSON
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning

Text book image

Calculus: Early Transcendentals

Calculus

ISBN:9781285741550

Author:James Stewart

Publisher:Cengage Learning

Text book image

Thomas' Calculus (14th Edition)

Calculus

ISBN:9780134438986

Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:PEARSON

Text book image

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:9780134763644

Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:PEARSON

Text book image

Calculus: Early Transcendentals

Calculus

ISBN:9781319050740

Author:Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:W. H. Freeman

Text book image

Calculus

ISBN:9780135189405

Author:Michael Sullivan

Publisher:PEARSON

Text book image

Calculus: Early Transcendental Functions

Calculus

ISBN:9781337552516

Author:Ron Larson, Bruce H. Edwards

Publisher:Cengage Learning

SEE MORE TEXTBOOKS

UG/ linear equation in linear algebra; Author: The Gate Academy;https://www.youtube.com/watch?v=aN5ezoOXX5A;License: Standard YouTube License, CC-BY

System of Linear Equations-I; Author: IIT Roorkee July 2018;https://www.youtube.com/watch?v=HOXWRNuH3BE;License: Standard YouTube License, CC-BY