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MathsJEE Main 4 Apr 2026, Shift 2·Q13·MCQ·Easy–moderate

3D Geometry · Shortest distance between skew lines

The shortest distance between the lines r⃗=(13i^+2j^+83k^)+λ(2i^−5j^+6k^)\vec r = \left(\frac13\hat i + 2\hat j + \frac83\hat k\right) + \lambda\left(2\hat i - 5\hat j + 6\hat k\right) and r⃗=(−23i^−13k^)+μ(j^−k^)\vec r = \left(-\dfrac23\hat i - \dfrac13\hat k\right) + \mu\left(\hat j - \hat k\right), λ,μ∈R\lambda, \mu \in \mathbb{R}, is:
  1. (1)5\sqrt5
  2. (2)3
  3. (3)232\sqrt3
  4. (4)15\sqrt{15}

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