Shortest distance between lines and circle radi…

3D Line Equations and Skew

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Shortest distance between lines and circle radius

Let the values of λ for which the shortest distance between the lines $\frac{{x - 1}}{2}$ = $\frac{{y - 2}}{3}$ = $\frac{{z - 3}}{4}$ and $\frac{{x - \lambda }}{3}$ = $\frac{{y - 4}}{4}$ = $\frac{{z - 5}}{5}$ is $\frac{1}{{\sqrt 6 }}$ be λ₁ and λ₂. Then the radius of the circle passing through the points (0, 0), (λ₁, λ₂) and (λ₂, λ₁) is

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