2. Find vectors u, w ER³ such that v+w= (1,3,7), v is parallel to (1,0,1), and wis orthogonal to (1,0,1).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please do question 2 and show work 

2.
Find vectors u, w E R³ such that v+w= (1,3,7), v is parallel to (1,0,1),
and wis orthogonal to (1, 0, 1).
3.
Find an equation for the plane in R³ containing the points
P = (4,1,0)
Q = (3,2,1)
R=(5,1,1)
Transcribed Image Text:2. Find vectors u, w E R³ such that v+w= (1,3,7), v is parallel to (1,0,1), and wis orthogonal to (1, 0, 1). 3. Find an equation for the plane in R³ containing the points P = (4,1,0) Q = (3,2,1) R=(5,1,1)
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