For Question 19, it asked to "Find an equation of the plane consisting of all points that are equidistant from A(4,−5,−4) and B(0,−4,−4)."
What I tried to do was first find the mid-point between the two points, which I got (2, -9/2, -4). Then I tried to find the vector from A to B, which i got <-4,1,0>. Then I used equation for a plane <-4,1,0>dot<x-2,y+(9/2), z+4>. I got -4x +y +8 + (9/2) = 0. I move the 12.5 to the other side. -4x +y = -12.5.
Professor i don't know what i'm doing wrong. Is this not the formula to solve for this?
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