Shortest Distance Between Skew Lines (Vector Form) (d = |(b1-a1)·(d1×d2)| / |d1×d2|)
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d = |(b1-a1)·(d1×d2)| / |d1×d2|
What each symbol means
| Symbol | What it stands for |
|---|---|
| Line1 | r = a1 + λ d1 |
| Line2 | r = b1 + μ d2 |
When to use this
d1×d2 ≠ 0 (non-parallel directions). Numerator is absolute scalar triple product | [b1-a1, d1, d2] |.