24. Find the intersection of the planes x-y-9z = 86 and -4x + 6y + 7z =-87 [Ans: x = 3 - 49t y =-2 + 29t z=-9 + 2t] 25. Suppose two airplanes fly paths described by the parametric equations x= 3+t x =13-4s P:y =11+s z = -14+ 2s R:{y =9+2t z =-8-t where s and t represent time. Determine whether the flight paths intersect and, if so, what is the intersection point. [Ans: intersect at P(5, 13, -10)]

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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24. Find the intersection of the planes x-y-9z = 86 and-4x + 6y + 7z =-87
[Ans: x = 3 – 49t
y =-2 + 29t
z=-9 + 2t]
%3D
25. Suppose two airplanes fly paths described by the parametric equations
x = 13 – 4s
x = 3+t
B:y =11+s
z = -14 + 2s
R:{y =9+2t
z = -8 - t
where s and t represent time. Determine whether the flight paths intersect and, if so,
what is the intersection point.
[Ans: intersect at P(5, 13, -10)]
Transcribed Image Text:24. Find the intersection of the planes x-y-9z = 86 and-4x + 6y + 7z =-87 [Ans: x = 3 – 49t y =-2 + 29t z=-9 + 2t] %3D 25. Suppose two airplanes fly paths described by the parametric equations x = 13 – 4s x = 3+t B:y =11+s z = -14 + 2s R:{y =9+2t z = -8 - t where s and t represent time. Determine whether the flight paths intersect and, if so, what is the intersection point. [Ans: intersect at P(5, 13, -10)]
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