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**Unformatted text preview: **between the two planes. 13.5b. Suppose P is the plane described by the equation ax + by + cz + d = 0 . Given two points ( x , y , z ) and ( x 1 , y 1 , z 1 ) , how does one go about determining whether or not the two points lie on the same side of the plane. Carefully explain your reasoning. 13.5c. Find the equation of the line consisting of those points which are equidistant from the three points (2 , 1 ,-3) , (3 , 4 ,-1) , and (-2 , 1 ,-1) . 13.7a. A solid lies above the cone z = ± 7( x 2 + y 2 ) and inside the sphere x 2 + y 2 + z 2 = 8 z . Using spherical coordinates, write a description of the solid....

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