Shortest Distance Between Skew Lines (Jee Mains)

3D Line Equations and Skew

Medium

Shortest Distance Between Skew Lines

Let the shortest distance between the lines $\frac{{x - 3}}{3} = \frac{{y - \alpha }}{{ - 1}} = \frac{{z - 3}}{1}$ and $\frac{{x + 3}}{{ - 3}} = \frac{{y + 7}}{2} = \frac{{z - \beta }}{4}$ be $3\sqrt {30}$ . Then the positive value of 5α + β is

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