SOLUTION: I can't figure out this problem at all. I have an idea on how to solve it but I don't know how to get started. Find the equation of the plane that passes through the point (1,1,

Algebra ->  College  -> Linear Algebra -> SOLUTION: I can't figure out this problem at all. I have an idea on how to solve it but I don't know how to get started. Find the equation of the plane that passes through the point (1,1,      Log On


   



Question 21928: I can't figure out this problem at all. I have an idea on how to solve it but I don't know how to get started.
Find the equation of the plane that passes through the point (1,1,1) and is normal to the vector N=(1,2,3).

Answer by khwang(438) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation of the plane that passes through the point (1,1,1) and is normal to the vector N=(1,2,3).

The equation of a plane passing through (xo,yo,zo) with normal vector
N = (a,b,c) is {by the dot product [(x,y,z) - (xo,yo,zo)] . N = 0 }
a(x-xo) + b(y-yo)+ c(z-zo) = 0.
That is the whole story.
You have to work hard.
Kenny