Kalkulatur tad-Distanza 3D
Ikkalkula d-distanza Ewklidjana, il-punt tan-nofs u d-differenzi għal kull ass bejn żewġ punti fi spazju tridimensjonali.
Straight-line distance between the two points
- 1
Δx (x2 − x1)
4 − 1 = 3 - 2
Δy (y2 − y1)
6 − 2 = 4 - 3
Δz (z2 − z1)
8 − 3 = 5 - 4
Sum of squares
3² + 4² + 5² = 50 - 5
Distanza
√(50) = 7.0711Square root of the summed squared differences gives the straight-line distance.
Kif jaħdem dan il-kalkulatur?
Id-distanza 3D bejn żewġ punti hija l-għerq kwadru tas-somma tad-differenzi kwadri tul l-assi x, y u z: d = √(Δx² + Δy² + Δz²). Dan il-kalkulatur jirritorna wkoll il-punt tan-nofs u kull delta tal-assi, biex tara kemm il-punti huma 'l bogħod minn xulxin u fejn jinsab id-distakk.
Formula
How this is calculated
Daħħal il-koordinati ta' żewġ punti P1 = (x1, y1, z1) u P2 = (x2, y2, z2). Kull ass jaċċetta kwalunkwe numru reali, pożittiv jew negattiv, u l-kalkulatur jaġġorna minnufih hekk kif tikteb.
Id-distanza f'linja dritta (Ewklidjana) toħroġ direttament mit-teorema ta' Pitagora estiża għal tliet dimensjonijiet: hija l-għerq kwadru tas-somma tad-differenzi kwadri tul kull ass, d = √(Δx² + Δy² + Δz²), fejn Δx = x2 − x1, Δy = y2 − y1 u Δz = z2 − z1. Il-punt tan-nofs huwa l-medja komponent b'komponent, ((x1 + x2)/2, (y1 + y2)/2, (z1 + z2)/2), li tagħti l-punt eżatt nofs triq tul is-segment.
Id-distanza dejjem ma tkunx negattiva u tkun żero biss meta ż-żewġ punti jikkoinċidu. Billi l-kwadratura tneħħi s-sinjal, l-ordni tal-punti ma jaffettwax id-distanza jew il-punt tan-nofs, għalkemm id-deltas iffirmati jaqilbu s-sinjal jekk tibdel P1 u P2. Il-graff bil-bars juri d-deltas assoluti |Δx|, |Δy| u |Δz|, li jagħmilha faċli tara liema ass jikkontribwixxi l-aktar għad-distakk. L-outputs kollha jaqsmu kwalunkwe unità li jużaw il-koordinati tiegħek.
Mistoqsijiet frekwenti
Id-distanza bejn (x1,y1,z1) u (x2,y2,z2) hija √((x2−x1)² + (y2−y1)² + (z2−z1)²), il-verżjoni tridimensjonali tat-teorema ta' Pitagora.
Le. Id-distanza u l-punt tan-nofs huma l-istess irrispettivament mill-ordni. Huma biss id-deltas iffirmati Δx, Δy u Δz li jbiddlu s-sinjal meta tibdel il-punti.
Iva. Kull numru reali huwa validu; il-kwadratura fil-formula timmaniġġa d-differenzi negattivi b'mod korrett.
Magħruf ukoll bħala
TG we-Calculate Editorial Team. (2026). Kalkulatur tad-Distanza 3D [Online calculator]. TG we-Calculate. https://we-calculate.com/mt/calculator/3d-distance-calculator
TG we-Calculate Editorial Team. "Kalkulatur tad-Distanza 3D." TG we-Calculate. 2026. https://we-calculate.com/mt/calculator/3d-distance-calculator.
TG we-Calculate Editorial Team, "Kalkulatur tad-Distanza 3D," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/mt/calculator/3d-distance-calculator
@misc{wecalculate_3d_distance_calculator, title = {Kalkulatur tad-Distanza 3D}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/mt/calculator/3d-distance-calculator}}, year = {2026}, note = {TG we-Calculate} }
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