
#1
Jun2107, 09:05 PM

P: 605

1. The problem statement, all variables and given/known data
Find the equation of the plane that passes throughthe point (1,2,1) and contains the line of intersection of the planes x+yz=2, and 2xy+3=1 2. Relevant equations [tex]a(xx_{o})+b(yy_{o})+c(zz_{o})=0[/tex] 3. The attempt at a solution My reasoning is that we can take the normal vectors of the given planes, take the cross product, which will be orthoganol to the plane we want. We then just plug the obtained normal vector and the point into the equation. Right? 



#2
Jun2107, 09:13 PM

P: 1,705

that's correct




#3
Jun2107, 09:18 PM

P: 605

Just wanted to check.
I get an anwer but it is wrong from the books, so it must be my doing. 



#4
Jun2107, 09:26 PM

P: 1,705

equation of plane
put up your calculations in tex and i'll follow em through




#5
Jun2107, 11:16 PM

P: 372

Shouldn't you find the the line of intersection? And then the direction from the point (1,2,1) to a point on the line? And then find a vector perpendicular to the two directions? And then pick any point that you know is going to be on your plane to satisfy your scalar equations?




#6
Jun2207, 01:36 AM

P: 1,705





#7
Jun2207, 05:43 AM

Mentor
P: 14,433





#8
Jun2207, 07:24 AM

P: 1,705




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