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consider the plane x+2y+z=2 and the point P= (2,0,4) a.) set up an equation to measure...

consider the plane x+2y+z=2 and the point P= (2,0,4)

a.) set up an equation to measure the distance d from P on an arbitrary point (x,y,z) on the plane

b.) Find the point on the plane that is closest to P. hint it may be easier to minimize d^2 (instead of d)

c.) What is the shortest distance between point P and the plane

Math   Calculus   
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