Skew Lines in 3D Space

Non-parallel, non-intersecting lines & shortest distance

Coordinate Axes System

X-Axis (+Red)

Y-Axis (+Green)

Z-Axis (+Blue)

Line $L_1$ Vector Form

$\vec{r}_1 = \vec{a}_1 + \lambda \vec{b}_1$

...

Line $L_2$ Vector Form

$\vec{r}_2 = \vec{a}_2 + \mu \vec{b}_2$

...

Shortest Distance ($d$) Perpendicular

Formula:

$$d = \frac{|(\vec{a}_2 - \vec{a}_1) \cdot (\vec{b}_1 \times \vec{b}_2)|}{|\vec{b}_1 \times \vec{b}_2|}$$

Calculated $d$: 0.00 units

Foot $P_1$ on $L_1$: ...

Foot $P_2$ on $L_2$: ...

Show Perpendicular Segment Show Distance Drop lines Show Coordinate Grids

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