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Question

Mathematics Question on Shortest Distance between Two Lines

Let the image of the point (53,53,83)\left(\frac{5}{3},\frac{5}{3},\frac{8}{3}\right) in the plane x - 2y + z - 2 = 0 be P. If the distance of the point Q(6,-2,α), α > 0, from P is 13, then α is equal to___.

Answer

The correct answer is: 15