Consider the plane P with the Cartesian equation 7x+ 5y + 5z = 33. (a) Express the above Cartesian equation as a parametric vector form with parameters s, t E R. P: ()- = a where s, t E R. 1 Syntax advice: Enter your answer using Maple syntax for vectors. For example, to input the parametric vector form for the plane 4 -6 -0-0 8 +t -9 3 you can either type <-6, -6, -9>+s*<4, 8, 3>+t*<1,1,1> or <-6+4*s+1*t, -6+8*s+1*t, -9+3*s+1*t> (b) Using your result from (a), or otherwise, find a normal vector n to P. n=
Consider the plane P with the Cartesian equation 7x+ 5y + 5z = 33. (a) Express the above Cartesian equation as a parametric vector form with parameters s, t E R. P: ()- = a where s, t E R. 1 Syntax advice: Enter your answer using Maple syntax for vectors. For example, to input the parametric vector form for the plane 4 -6 -0-0 8 +t -9 3 you can either type <-6, -6, -9>+s*<4, 8, 3>+t*<1,1,1> or <-6+4*s+1*t, -6+8*s+1*t, -9+3*s+1*t> (b) Using your result from (a), or otherwise, find a normal vector n to P. n=
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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Question
Please solve part B only
Transcribed Image Text:Consider the plane P with the Cartesian equation
7x+ 5y + 5z = 33.
(a) Express the above Cartesian equation as a parametric vector form with parameters s, t E R.
P:
(0)-
=
a
where s, t E R.
1
Syntax advice: Enter your answer using Maple syntax for vectors. For example, to input the parametric vector
form for the plane
4
-6
-0-0
8 +t
-9
3
you can either type
<-6, -6, -9>+s*<4, 8, 3>+t*<1,1,1>
or
<-6+4*s+1*t, -6+8*s+1*t, -9+3*s+1*t>
(b) Using your result from (a), or otherwise, find a normal vector n to P.
n=
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