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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 54RE

(a)

To determine

To find: The set of parametric equation.

(a)

Expert Solution

Answer to Problem 54RE

The set of parametric equation are x=−1+9t , y=4+6t and z=2+4t .

Explanation of Solution

Given information:

The given points is (−1,4,3) , (8,10,5)

Calculation:

Consider the points.

(x1,y1,z1)=(−1,4,3)

(x2,y2,z2)=(8,10,5)

Calculate the equation.

v=(x2−x1,y2−y1,z2−z1)=(8−(−1),10−4,5−3)=(9,6,2)

The parametric equation of a line passing through the point (−1,4,3) and parallel to the non-zero vector v=(9,6,2) .

x=−1+9ty=4+6tz=3+2t

Therefore, the set of parametric equation are x=−1+9t , y=4+6t and z=2+4t .

(b)

To determine

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

(b)

Expert Solution

Answer to Problem 54RE

The symmetric sets are (x,y,z)=(x+19,y−46,z−32) .

Explanation of Solution

Given information:

The given points is (−1,4,3) , (8,10,5)

Calculation:

Consider the symmetric equation of a line passing through the point (−1,4,3) and passing to the non-zero vector v=(9,6,2) .

x=x−(−1)9=x+19

y=y−46

z=z−32

Therefore, the symmetric sets are (x,y,z)=(x+19,y−46,z−32) .

Chapter 10, Problem 53RE

Chapter 10, Problem 55RE

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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