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a) Let T be the plane 3x-y-2z=9. Find the shortest distance d from the point P0...

a) Let T be the plane 3x-y-2z=9. Find the shortest distance d from the point P0 = (5, 2, 1) to T, and the point Q in T that is closest to P0. Use the square root symbol where needed.

d=

Q= ( , , )

b) Find all values of X so that the triangle with vertices A = (X, 4, 2), B = (3, 2, 0) and C = (2, 0 , -2) has area (5/2).

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