Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
7. Lucas does not like Dustin weapon and decides to design his own. His model has a plane that contains the point A(-5,2,-4) and two direction vectors, AB = (4,8,1)and AC = (-3,-2,0). Which of the following statement(s) about this plane is/are true? Justify your answer. i. The plane has a parametric equation that can be defined as follows: (x = -5 +4t-3s y = 2 + 8t - 2s z = −4+t ii. The plane has a vector equation that can be defined as (x, y, z) = (-5,2,-4) + t(3,2,0) + s(4,8,1) iii. The point D(31,6,0) lies on the plane iv. The z-intercept of the plane is 0,0,-5)

7. Lucas does not like Dustin weapon and decides to design his own. His model has a plane that contains the point A(-5,2,-4) and two direction vectors, AB = (4,8,1)and AC = (-3,-2,0). Which of the following statement(s) about this plane is/are true? Justify your answer. i. The plane has a parametric equation that can be defined as follows: (x = -5 +4t-3s y = 2 + 8t - 2s z = −4+t ii. The plane has a vector equation that can be defined as (x, y, z) = (-5,2,-4) + t(3,2,0) + s(4,8,1) iii. The point D(31,6,0) lies on the plane iv. The z-intercept of the plane is 0,0,-5)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question

This was not clear the first time as it was done backwards.

7. Lucas does not like Dustin weapon and decides to design his own. His model has a plane that contains the point A(-5,2,-4) and two direction vectors, AB = (4,8,1)and AC = (-3,-2,0). Which of the following statement(s) about this plane is/are true? Justify your answer. i. The plane has a parametric equation that can be defined as follows: (x = -5 +4t-3s y = 2 + 8t - 2s z = −4+t ii. The plane has a vector equation that can be defined as (x, y, z) = (-5,2,-4) + t(3,2,0) + s(4,8,1) iii. The point D(31,6,0) lies on the plane iv. The z-intercept of the plane is 0,0,-5)
Transcribed Image Text:7. Lucas does not like Dustin weapon and decides to design his own. His model has a plane that contains the point A(-5,2,-4) and two direction vectors, AB = (4,8,1)and AC = (-3,-2,0). Which of the following statement(s) about this plane is/are true? Justify your answer. i. The plane has a parametric equation that can be defined as follows: (x = -5 +4t-3s y = 2 + 8t - 2s z = −4+t ii. The plane has a vector equation that can be defined as (x, y, z) = (-5,2,-4) + t(3,2,0) + s(4,8,1) iii. The point D(31,6,0) lies on the plane iv. The z-intercept of the plane is 0,0,-5)
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS