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Find vectors v, w R³ such that v+w= (1,3,7), v is parallel to (1,0,1), 2. 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)

Find vectors v, w R³ such that v+w= (1,3,7), v is parallel to (1,0,1), 2. 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)

Advanced Engineering Mathematics
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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Please do question 3 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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