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).

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
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Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
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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).
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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