Given is the following plane: 1 3 #(s, t) = + -1 t 2 -2 a) Show that (2, 0, 1)" is not a point of the plane. b) Give the plane in Hessian normal form. c) Where does the z-axis intersect the plane?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Given is the following plane:
(:)-(
1
2
T(s, t) =
s +
-1
t
1
-2
a) Show that (2, 0, 1)" is not a point of the plane.
b) Give the plane in Hessian normal form.
c) Where does the z-axis intersect the plane?
Transcribed Image Text:Given is the following plane: (:)-( 1 2 T(s, t) = s + -1 t 1 -2 a) Show that (2, 0, 1)" is not a point of the plane. b) Give the plane in Hessian normal form. c) Where does the z-axis intersect the plane?
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