If the shortest distance between the lines and is units

MATHEMATICS · Subjective · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

If the shortest distance between the lines x−33=y−8−1=z−31\frac{x-3}{3} = \frac{y-8}{-1} = \frac{z-3}{1} and x+3−3=y+72=z−62\frac{x+3}{-3} = \frac{y+7}{2} = \frac{z-6}{2} is λ30\lambda\sqrt{30} units, then the value of λ\lambda is .....

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