The shortest distance between the lines $\vec{r} = {\vec{a}}_{1} + {\vec{b}}_{1} t$ and $\vec{r} = {\vec{a}}_{2} + {\vec{b}}_{2} s$ is

Difficult

A

$[{\vec{a}}_{2} - {\vec{a}}_{1}, {\vec{b}}_{1}, {\vec{b}}_{2}]$
B

$\frac{[{\vec{a}}_{2} - {\vec{a}}_{1}, {\vec{b}}_{1}, {\vec{b}}_{2}]}{| {\vec{b}}_{1} \times {\vec{b}}_{2} |}$
C

$\frac{[{\vec{a}}_{2} - {\vec{a}}_{1}, {\vec{b}}_{1}, {\vec{b}}_{2}]}{| {\vec{a}}_{1} \times {\vec{a}}_{2} |}$
D

none of these

Solution

Standard formula for shortest distance.

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