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High School Math Calculus Precalculus with Limits: A Graphing Approach

The set of parametric equations of the line passes through ( − 1 , 4 , − 3 ) and parallel to the plane v = 5 i − j .

The set of parametric equations of the line passes through ( − 1 , 4 , − 3 ) and parallel to the plane v = 5 i − j .

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 10.4, Problem 42E

To determine

To find: The set of parametric equations of the line passes through (−1,4,−3) and parallel to the plane v=5i−j .

Expert Solution & Answer

Answer to Problem 42E

The set of parametric equations of the line passes through (−1,4,−3) and parallel to the plane v=5i−j are x=−1+5t , y=4−t and z=−3 .

Explanation of Solution

Given information:

The line passes through (−1,4,−3) and it is parallel to the plane v=5i−j .

Calculation:

The directional vector to the line is 〈a,b,c〉=〈5,−1,0〉 . The equation of the line are x=x1+at , y=y1+bt and z=z1+ct and with (x1,y1,z1)=(−1,4,−3) .

Find the equations of line as follows.

x=−1+5(t)=−1+5ty=4−1(t)=4−t

and,

z=−3+0(t)=−3

Therefore, the set of parametric equations of the line passes through (−1,4,−3) and parallel to the plane v=5i−j are x=−1+5t , y=4−t and z=−3 .

Chapter 10.4, Problem 41E

Chapter 10.4, Problem 43E

Chapter 10 Solutions

Precalculus with Limits: A Graphing Approach

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