Three people are standing on a plane (the flat surface kind). The first person is standing at the origin. The second person is standing at an elevation of 2m higher, 7m [E] and 7m [N] of the first person. The third person is standing at an elevation 3m below and 4m west of the first person. Note: East is positive in the x direction, North is positive in the y direction. a) Determine the vector and parametric equations of the plane the three people are standing on b) If a fourth person is standing 5m east of the first person, are all 4 people standing on a plane? Justify your answer. If the fourth person is not on the plane, how can you alter their position so that they are on the plane?
Three people are standing on a plane (the flat surface kind). The first person is standing at the origin. The second person is standing at an elevation of 2m higher, 7m [E] and 7m [N] of the first person. The third person is standing at an elevation 3m below and 4m west of the first person. Note: East is positive in the x direction, North is positive in the y direction. a) Determine the vector and parametric equations of the plane the three people are standing on b) If a fourth person is standing 5m east of the first person, are all 4 people standing on a plane? Justify your answer. If the fourth person is not on the plane, how can you alter their position so that they are on the plane?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Three people are standing on a plane (the flat surface kind). The first person is
standing at the origin. The second person is standing at an elevation of 2m higher,
7m [E] and 7m [N] of the first person. The third person is standing at an elevation 3m
below and 4m west of the first person.
Note: East is positive in the x direction, North is positive in the y direction.
a) Determine the vector and parametric equations of the plane the three people are
standing on
b) If a fourth person is standing 5m east of the first person, are all 4 people standing
on a plane? Justify your answer. If the fourth person is not on the plane, how can you
alter their position so that they are on the plane?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0daeffe-e90b-41df-9aaa-5a99b449a100%2F80be084f-3443-4ddb-bc9a-6a10c2950cf0%2Fnr6p6zs_processed.png&w=3840&q=75)
Transcribed Image Text:Three people are standing on a plane (the flat surface kind). The first person is
standing at the origin. The second person is standing at an elevation of 2m higher,
7m [E] and 7m [N] of the first person. The third person is standing at an elevation 3m
below and 4m west of the first person.
Note: East is positive in the x direction, North is positive in the y direction.
a) Determine the vector and parametric equations of the plane the three people are
standing on
b) If a fourth person is standing 5m east of the first person, are all 4 people standing
on a plane? Justify your answer. If the fourth person is not on the plane, how can you
alter their position so that they are on the plane?
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Step 1: Given.
VIEWStep 2: Find the vector of the plane three people are standing on.
VIEWStep 3: Find the parametric equation of the plane the three people are standing on.
VIEWStep 4: Find the position of the fourth person on the plane.
VIEWStep 5: Find whether the four persons are on the plane.
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