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Just help me to check homework on vector calculus

by denian
Tags: calculus, check, homework, vector
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denian
#1
Mar11-06, 10:36 PM
P: 160
Find the equation of the normal vector, tangent plane, and the normal line to
the graph of the equation at point P.

here's the equation and my solution:




please help me verify if my answer is correct. tqvm!
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HallsofIvy
#2
Mar12-06, 06:20 AM
Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,490
Do you understand that most people are not going to download a file from someone they don't know?
denian
#3
Mar12-06, 06:33 AM
P: 160
sorry. changed it to jpeg. :)

HallsofIvy
#4
Mar12-06, 12:13 PM
Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,490
Just help me to check homework on vector calculus

Yes, very nicely done!

Those of us who dislike fractions (third grade trauma!) might prefer

2x- y+ 2z= 0 for the tangent plane (multiply your equation by -2) and
[2t, 2- 2t, 1+ 2t] for the normal line (replace your t by -2t) but your equations are completely correct.
denian
#5
Mar12-06, 12:37 PM
P: 160
HoI, thank you very much!


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