Determine the equation of the plane containing the point and the line. (-7, 10,-3), r(t) = (1 − 4t, 6t – 16, t - 4) (Express numbers in exact form. Use symbolic notation and fractions where needed. Write the equation of the plane in scalar form in terms of x, y, and z.) equation: Identify which points lie on the line r. (-7,-4,-2) (1,2,-1) (5,-22,-5) (5,-1,-2) (9,-28, -7)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Determine the equation of the plane containing the point and the line.
(-7, 10,-3), r(t) = (1 − 4t, 6t – 16, t - 4)
(Express numbers in exact form. Use symbolic notation and fractions where needed. Write the equation of the plane in scalar
form in terms of x, y, and z.)
equation:
Identify which points lie on the line r.
(-7,-4,-2)
(1,2,-1)
(5,-22,-5)
(5,-1,-2)
(9,-28, -7)
Transcribed Image Text:Determine the equation of the plane containing the point and the line. (-7, 10,-3), r(t) = (1 − 4t, 6t – 16, t - 4) (Express numbers in exact form. Use symbolic notation and fractions where needed. Write the equation of the plane in scalar form in terms of x, y, and z.) equation: Identify which points lie on the line r. (-7,-4,-2) (1,2,-1) (5,-22,-5) (5,-1,-2) (9,-28, -7)
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