Question 2. Let be W = Span(u, v), where u = [2, 1, 3] and v = [−1, 0, 2]. (a) Show that every vector w= = [x, y, z] € W satisfies the equation 2x - 7y + z = 0. (b) Find the general equation of the plane P that is parallel to W and passes through the point Q = (1, 2,5).
Question 2. Let be W = Span(u, v), where u = [2, 1, 3] and v = [−1, 0, 2]. (a) Show that every vector w= = [x, y, z] € W satisfies the equation 2x - 7y + z = 0. (b) Find the general equation of the plane P that is parallel to W and passes through the point Q = (1, 2,5).
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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Hi can someone please verify if the answer I got is correct, if not can you please show me how to do it.
a. 2x-7+z=0
b. 2x-7y+z=-6
![Span(u, v), where u = [2, 1,3] and v = [−1,0, 2].
(a) Show that every vector w = [x, y, z] ¤ W satisfies the equation 2x
Question 2. Let be W
=
7y+z=0.
(b) Find the general equation of the plane P that is parallel to W and passes through the point
Q = (1, 2, 5).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6648cac7-5250-46f7-a500-4115cbf1fe6e%2F8a183e53-5a97-41f5-b9aa-d3aeff5d0e65%2Fg0timbp_processed.png&w=3840&q=75)
Transcribed Image Text:Span(u, v), where u = [2, 1,3] and v = [−1,0, 2].
(a) Show that every vector w = [x, y, z] ¤ W satisfies the equation 2x
Question 2. Let be W
=
7y+z=0.
(b) Find the general equation of the plane P that is parallel to W and passes through the point
Q = (1, 2, 5).
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