Find the parametric equa

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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This hw problem I am so confused on I don't know how to do. 

Find the parametric equations of the line in R' containig the points P = (-2,5, 4) and Q = (-4,1,1).
Let Po = (ro, yo, 20) E R and a : AcBY +Cz + D = 0 be the a point and the equation of a plane,
respetively. Show that the distance from the plane T to the point po, (denoted d(T, Po)) is given by
the following formula:
|Axo + Byo + Czo + D|
VA2 + B² + C2
d(a, Po) =
Additionally, use this result to find the distance from 3x- 5y22 = 5 to (1,-2, 2).
Transcribed Image Text:Find the parametric equations of the line in R' containig the points P = (-2,5, 4) and Q = (-4,1,1). Let Po = (ro, yo, 20) E R and a : AcBY +Cz + D = 0 be the a point and the equation of a plane, respetively. Show that the distance from the plane T to the point po, (denoted d(T, Po)) is given by the following formula: |Axo + Byo + Czo + D| VA2 + B² + C2 d(a, Po) = Additionally, use this result to find the distance from 3x- 5y22 = 5 to (1,-2, 2).
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