A plane passes through the three points A(1, 1, 1), B(2, 3, 4), and C(1, 0, 1). Find a parametric equation of the plane. x = 1+ 2s + t a) y = 1 + 3s z = 1+ 45 +i b) x = 1+5 y = 1 + 2s - t z = 1 + 3s x = 1+5+t c) y = 2+ 2s + 2t Z = 3+ 3s + 3s x = 1+ 2s d) y = 1 + 3s – t |z = 1 + 45

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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A plane passes through the three points A(1, 1, 1), B(2, 3, 4), and C(1, 0, 1). Find a parametric
equation of the plane.
x = 1+ 2s + t
a)
y = 1 + 3s
z = 1+ 45 +i
b) x = 1+5
y = 1 + 2s - t
z = 1 + 3s
x = 1+5+t
c)
y = 2+ 2s + 2t
Z =
3+ 3s + 3s
x = 1+ 2s
d)
y = 1 + 3s – t
|z = 1 + 45
Transcribed Image Text:A plane passes through the three points A(1, 1, 1), B(2, 3, 4), and C(1, 0, 1). Find a parametric equation of the plane. x = 1+ 2s + t a) y = 1 + 3s z = 1+ 45 +i b) x = 1+5 y = 1 + 2s - t z = 1 + 3s x = 1+5+t c) y = 2+ 2s + 2t Z = 3+ 3s + 3s x = 1+ 2s d) y = 1 + 3s – t |z = 1 + 45
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