Question: First question, Let P be a point not on the line L that passes through the points Q and R . The distance d from

First question,

LetPbe a point not on the lineLthat passes through the pointsQandR. The distancedfrom the pointPto the lineLis

d=|ab|/|a|, wherea=QRandb=QP.

Use the above formula to find the distance from the point to the given line.

(0,3,1);x=3t,y=63t,z=1+t

Second Question,

A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base is260m and the minimum diameter,500m above the base, is200m. Find an equation for the tower. (Assume the position of the hyperboloid is such that the center is at the origin with its axis along thez-axis, and the minimum diameter at the center.)

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