Rastojanje

Pređeni put (oznaka — ${\displaystyle {\boldsymbol {s}}}$ ) jest jednak intenzitetu (apsolutnoj vrednosti) vektora pomeraja:

${\displaystyle {\boldsymbol {s}}=\left|\Delta {\boldsymbol {\vec {r}}}\,\right\vert =\left|{\boldsymbol {\vec {r}}}_{2}-{\boldsymbol {\vec {r}}}_{1}\right\vert ,}$ 

odnosno:

${\displaystyle {\boldsymbol {s}}_{\Delta t}=\left|\Delta {\boldsymbol {\vec {r}}}_{\Delta t}\right\vert =\left|{\boldsymbol {\vec {r}}}_{t_{2}}-{\boldsymbol {\vec {r}}}_{t_{1}}\right\vert ,}$ 

gde je ${\displaystyle {\boldsymbol {\vec {r}}}_{t_{2}}}$  vektor položaja u trenutku ${\displaystyle t_{2}}$  i ${\displaystyle {\boldsymbol {\vec {r}}}_{t_{1}}}$  vektor položaja u trenutku ${\displaystyle t_{1}}$ .

Ukupni pređeni put je jednak zbiru intenziteta pojedinih vektora pomeraja:

${\displaystyle {\boldsymbol {s}}_{u}={\boldsymbol {s}}_{\Delta t_{1}+\Delta t_{2}+\Delta t_{3}+\,\cdots \,+\Delta t_{n}}=\left|\Delta {\boldsymbol {\vec {r}}}_{\Delta t_{1}}\right\vert +\left|\Delta {\boldsymbol {\vec {r}}}_{\Delta t_{2}}\right\vert +\left|\Delta {\boldsymbol {\vec {r}}}_{\Delta t_{3}}\right\vert +\cdots +\left|\Delta {\boldsymbol {\vec {r}}}_{\Delta t_{n}}\right\vert .}$ 

Pređeni put je skalarna veličina.

• Položaj
• Pomeraj
• Dajkstrin algoritam