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.(). P: = B, where s,te R. 1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
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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)-
=
Y
where s, t E R.
Syntax advice: Enter your answer using Maple syntax for vectors. For example, to input the parametric vector
form for the plane
6
4
(-)-0-0)
-6
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>
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)- = Y where s, t E R. Syntax advice: Enter your answer using Maple syntax for vectors. For example, to input the parametric vector form for the plane 6 4 (-)-0-0) -6 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>
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