Problem 8. Find the plane that passes through the points $A = (2,1,3)$, $B = (-2,0,0)$ and $C = (0,4,1)$. Problem 9. Find the distance of the point $D = (1,1,1)$ to the plane defined by the previous problem.
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We can find two vectors lying in the plane: $\vec{AB} = B - A = (-2-2, 0-1, 0-3) = (-4, -1, -3)$ $\vec{AC} = C - A = (0-2, 4-1, 1-3) = (-2, 3, -2)$ Show more…
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