3D Geometry · Line intersecting two given lines

A line with direction ratios

1, -1, 2

intersects the lines

\dfrac{x}{2} = \dfrac{y}{3} = \dfrac{z + 1}{3}

and

\dfrac{x + 1}{-1} = \dfrac{y - 2}{1} = \dfrac{z}{4}

at the points

P

and

Q

, respectively. If the length of the line segment

PQ

\alpha

, then

225\alpha^2

is equal to:

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