JEE Math Practice Question
Consider the lines $$L_1$$ and $$L_2$$ given by $${L_1}:{{x - 1} \over 2} = {{y - 3} \over 1} = {{z - 2} \over 2}$$ $${L_2}:{{x - 2} \over 1} = {{y - 2} \over 2} = {{z - 3} \over 3}$$. A line $$L_3$$ having direction ratios 1, $$-$$1, $$-$$2, intersects $$L_1$$ and $$L_2$$ at the points $$P$$ and $$Q$$ respectively. Then the length of line segment $$PQ$$ is
- A.$$4\sqrt3$$
- B.$$2\sqrt6$$
- C.4
- D.$$3\sqrt2$$
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