11. Consider the plane and the line with these equations: 0 = 2x + y -z + 10 a) :. e must b) Find all the values of e and f such that the plane and the line intersect at every point on the line. =(-4,2, e) + t(3, f, 1) Find all the values of e and f such that the plane and the line will always intersect at a single point. Explain. :: e must c) and f must. and f must. Find all the values of e and f such that the plane and the line will not intersect. Explain. :: e must and f must

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
11. Consider the plane and the line with these equations:
0 = 2x + y - z + 10
a)
:. e must
b)
Find all the values of e and f such that the plane and the line intersect at
every point on the line.
= (-4,2, e) + t(3, f, 1)
Find all the values of e and f such that the plane and the line will always
intersect at a single point. Explain.
:: e must
c)
and f must.
and f must.
Find all the values of e and f such that the plane and the line will not intersect.
Explain.
:. e must
and f must.
Transcribed Image Text:11. Consider the plane and the line with these equations: 0 = 2x + y - z + 10 a) :. e must b) Find all the values of e and f such that the plane and the line intersect at every point on the line. = (-4,2, e) + t(3, f, 1) Find all the values of e and f such that the plane and the line will always intersect at a single point. Explain. :: e must c) and f must. and f must. Find all the values of e and f such that the plane and the line will not intersect. Explain. :. e must and f must.
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