(a) Does the plane r(s, t) = (2 – 28 – 2t) k – ((4 + s) i + tj) - - the point (-4,-3,-4)? ? (b) Find the z-component that it lies on the plane. 20 For what values of s and t is this the case? S t || 0 contain of the point (-5, -3, zo) so

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) Does the plane
r(s, t) = (2 – 2s — 2t) k – ((4 + s)i+tj) contain
-
the point (-4,-3,-4)? ? î
(b) Find the z-component of the point (-5, -3, zo) so
that it lies on the plane.
20
For what values of s and t is this the case?
S
t
||
Transcribed Image Text:(a) Does the plane r(s, t) = (2 – 2s — 2t) k – ((4 + s)i+tj) contain - the point (-4,-3,-4)? ? î (b) Find the z-component of the point (-5, -3, zo) so that it lies on the plane. 20 For what values of s and t is this the case? S t ||
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