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  3. 4 a plane is determined by any three noncolinear points...

Question: 4 a plane is determined by any three noncolinear points...

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4. A plane is determined by any three non-colinear points on it. Let A = (1,0.0), B= (2.-1.-1) and C = (0,1,4) be three non-collienar points on a plane P (a) Find AB and AC (b) Find a vector that is orthogonal(perpendicular) to the plane P (c) Let X(r, y, 2) be an arbitrary point on the plane. Using dot product and the fact that AX and n are orthogonal, find an equation of the plane P of the form or + by + cz = d.
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