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)
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter1: Line And Angle Relationships
Section1.6: Relationships: Perpendicular Lines
Problem 27E
Related questions
Question
Please Justify both using math and with writing.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning