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Let the equation of a line is (x-2)/(1)=...

Let the equation of a line is `(x-2)/(1)=(y-3)/(2)=(z-4)/(3)`. An insect starts flying from `P(1, 3, 2)` in a straight line meeting the given line at a point R(a, b, c) and then goes to the point Q (6, 7, 5) in a straight line such that PR is perpendicular to RQ. Then the least value of `7(a+b+c)` is equal to

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