Sun K.
asked • 04/21/13Find the shortest distance between the planes?
Find the shortest distance between the planes 2x+3y-z=2 and 2x+3y-z=4.
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1 Expert Answer
Robert J. answered • 04/21/13
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Certified High School AP Calculus and Physics Teacher
Pick any point from the first plane, (0, 0, -2). Using the distance formula from a point to a plane, you can find the shortest distance
d = |-2+4|/sqrt(2^2+3^2+1^2) = 2/sqrt(14).
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Sun K.
But the answer should be sqrt(14)/7.
04/21/13