A line with cosines proportional to 2,7-...

A line with cosines proportional to `2,7-5` drawn to intersect the lines `(x-5)/3=(y-7)/-1=(z+2)/1 ; (x+3)/-3=(y-3)/2=(z-6)/4` .Find the co- ordinates of the points of intersection and the length intercepted on it.

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