9. Write an equation of the plane that passes through (2,0, –3) and (a) is perpendicular to the line l(t) = (5 – t, –6t, 1+t)? (b) is parallel to the plane P? (c) passes through the tips of b and v? (verify that those points satisfy the resulting equation)

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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ChapterP: Preliminary Concepts
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I need help with this question any help is greatly appreciated, thank you, 

9. Write an equation of the plane that passes through (2,0, –3) and
(a) is perpendicular to the line e(t) = (5 – t, –6t, 1+ t)?
(b) is parallel to the plane P?
(c) passes through the tips of b and v? (verify that those points satisfy the resulting equation)
(d) Does the l(t) from part (a) intersect the plane from part (c)? If so, where?
Transcribed Image Text:9. Write an equation of the plane that passes through (2,0, –3) and (a) is perpendicular to the line e(t) = (5 – t, –6t, 1+ t)? (b) is parallel to the plane P? (c) passes through the tips of b and v? (verify that those points satisfy the resulting equation) (d) Does the l(t) from part (a) intersect the plane from part (c)? If so, where?
Consider the vectors a = (-1,–2,3), b
= (3,0, –2), v = (2, –5, –4) and the plane P given by 2x + y = z + 13.
Transcribed Image Text:Consider the vectors a = (-1,–2,3), b = (3,0, –2), v = (2, –5, –4) and the plane P given by 2x + y = z + 13.
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