Determine the correctness of the statements given below. I: The planes 2x+3y-4z 2 and x+2y+ 2z=3 are orthogonal X =1+t X =1+ 2t y = 3-2t z = 2+ 2t II: The lines y= 4-t and are parallel z= 3+t X = 1+4t III: The plane x+2y+ 2z=1 and the line y= 2+t are orthogonal z = 3-3t (a) I- True (b) I-False (c) I- True (d) I-True (e) I-False
Determine the correctness of the statements given below. I: The planes 2x+3y-4z 2 and x+2y+ 2z=3 are orthogonal X =1+t X =1+ 2t y = 3-2t z = 2+ 2t II: The lines y= 4-t and are parallel z= 3+t X = 1+4t III: The plane x+2y+ 2z=1 and the line y= 2+t are orthogonal z = 3-3t (a) I- True (b) I-False (c) I- True (d) I-True (e) I-False
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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Transcribed Image Text:Determine the correctness of the statements given below.
I: The planes 2x+3y - 4z =2 and
X+2y+ 2z=3 are orthogonal
x = 1+t
x = 1+ 2t
II: The lines
y = 3-2t
z = 2+ 2t
y = 4-t
and
are parallel
z= 3+t
X = 1+4t
y = 2+t
z = 3-3t
III: The plane x+2y+ 2z=1 and the line
are orthogonal
(a) I- True
(b)
I- False
(c) I-True
(d) I-True
(e) I-False
II - True
II- True
II - True
II- False
Il- True
III- True
III - True
III - False
III - True
III - False
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