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

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