Posted by alice on Monday, March 16, 2009 at 6:30pm.
the closest point is surely on a line from (0,0,0) meeting the plane at right angles.
but the normal to the given plane is (1,1,-1)
so the line must have direction (1,1,-1)
it's parametric equations would be:
x = k
y = k
z = -k
sub that in to the plane to find the value of k, sub back in the parametrics
and voila, there is your point.
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