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jhg12345
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Homework Statement
Give a Cartesian equation of the given hyperplane
The plane passing through (1,2,2) and orthogonal to the line x = (5,1,-1) + t(-1,1,-1)
Homework Equations
The Attempt at a Solution
So I've looked at this for a few hours and still can't figure out how to do it. It's supposed to be x(sub1) - x(sub2) + x(sub3) = 1, but I can't understand how one gets that solution. I know there should be a system of equations, with one of the equations being (1,-1,1) (which is orthogonal to the line in the question) but how about the other equations? Is the other hyperplane used for the system (5,1,-1) - (1,2,2) or something? Someone please help?!