Distance Between Two Skew Lines Using Scalar Triple Product

Distance Between Two Skew Lines Using Scalar Triple Product

For:

$$\vec r=\vec a+\lambda\vec b$$

and:

$$\vec r=\vec c+\mu\vec d$$

the shortest distance is:

$$d=\frac{|(\vec c-\vec a)\cdot(\vec b\times\vec d)|}{|\vec b\times\vec d|}$$

Usage

- Used directly for shortest-distance problems involving skew lines.