Hi, we are told that Y is a plane in R3 and contains the Point P(-1,3,7) and a line given by the equation (x-1)/2 = (y+1)/2 = z/3. How would we use this information to work out the cartesian equation of the plane Y?
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You can use the following ideas: 1)Any plane in is of the form and the point P satisfies it. 2) For . Why is this true? Can you solve for a,b,c,d?
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