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Vector quantity

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and an accompanying two-dimensional position vector in meters, for a total of four numbers on the plane (and six in space). A simpler example of a bound vector is the
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Aside from the notion of units and support, physical vector quantities may also differ from Euclidean vectors in terms of
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vector from an initial point to an end point; in this case, the bound vector is an
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or region of application; it can be freely translated with no consequences; a
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of points in the same position space, with all coordinates having the same
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is defined as the combination of an ordinary vector quantity and a
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Mechanical Systems, Classical Models: Volume 1: Particle Mechanics
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Analytical Mechanics: Solutions to Problems in Classical Physics
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Dynamics of Particles and Rigid Bodies: A Systematic Approach
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of meters: it includes a position Euclidean vector and a
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Borisenko, A.I.; Tarapov, I.E.; Silverman, R.A. (2012).
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is the combination of an ordinary vector quantity and a
334:"Details for IEV number 102-03-21: "vector quantity"" 294:are also admitted as physical vector quantities. 44:. It is typically formulated as the product of a 631: 517:Differential Geometry: A Geometric Introduction 125:. Bound vector quantities are formulated as a 614: 485:Vector and Tensor Analysis with Applications 417: 415: 359:"Details for IEV number 102-03-04: "vector"" 448: 260:, at a particular instant, of a continuous 139:has two Cartesian components in SI unit of 621: 607: 421: 232:Vector quantities are a generalization of 181:is a prototypical example of free vector. 428:. Springer Science & Business Media. 412: 392:. Cambridge University Press. p. 3. 363:International Electrotechnical Vocabulary 338:International Electrotechnical Vocabulary 240:. Individual vectors may be ordered in a 173:is a vector quantity having an undefined 632: 546: 544: 381: 379: 328: 326: 324: 573: 256:. A vector may also result from the 541: 508: 475: 442: 422:Teodorescu, Petre P. (2007-06-06). 385: 376: 351: 321: 13: 236:and can be further generalized as 14: 661: 650:Vectors (mathematics and physics) 577: 525:10.3792/euclid/9781429799843-13 155:and unit (length an meters). A 449:Merches, I.; Radu, D. (2014). 1: 314: 593:. You can help Knowledge by 248:), such as position vectors 7: 297: 188:. For example, an event in 10: 666: 645:Vector physical quantities 572: 455:. CRC Press. p. 379. 225:is adopted instead of the 304:List of vector quantities 192:may be represented as a 26:vector physical quantity 589:-related article is a 286:over Earth's surface. 262:vector-valued function 309:Vector representation 278:or three-dimensional 221:). In that case, the 209: ⋅  198:coherent derived unit 128:directed line segment 86:Cartesian coordinates 194:position four-vector 118:point of application 81:may be expressed as 179:displacement vector 162:line of application 47:unit of measurement 282:of space, such as 153:quantity dimension 107:, particularly in 602: 601: 534:978-1-4297-9984-3 495:978-0-486-13190-0 462:978-1-4822-3940-9 435:978-1-4020-5442-6 399:978-0-521-85811-3 266:pendulum equation 238:tensor quantities 234:scalar quantities 73:. For example, a 42:physical quantity 24:(also known as a 657: 623: 616: 609: 581: 574: 567: 566: 564: 563: 548: 539: 538: 512: 506: 505: 503: 502: 479: 473: 472: 470: 469: 446: 440: 439: 419: 410: 409: 407: 406: 386:Rao, A. (2006). 383: 374: 373: 371: 370: 355: 349: 348: 346: 345: 330: 227:Euclidean metric 223:Minkowski metric 216: 63:Euclidean vector 18:natural sciences 665: 664: 660: 659: 658: 656: 655: 654: 630: 629: 628: 627: 571: 570: 561: 559: 550: 549: 542: 535: 514: 513: 509: 500: 498: 496: 480: 476: 467: 465: 463: 447: 443: 436: 420: 413: 404: 402: 400: 384: 377: 368: 366: 357: 356: 352: 343: 341: 332: 331: 322: 317: 300: 274:defined over a 217:(involving the 215: 205: 137:Euclidean plane 123:point of action 75:position vector 54:numerical value 30:physical vector 22:vector quantity 12: 11: 5: 663: 653: 652: 647: 642: 626: 625: 618: 611: 603: 600: 599: 582: 569: 568: 540: 533: 507: 494: 474: 461: 441: 434: 411: 398: 375: 350: 319: 318: 316: 313: 312: 311: 306: 299: 296: 288:Pseudo vectors 219:speed of light 213: 167:line of action 157:sliding vector 79:physical space 9: 6: 4: 3: 2: 662: 651: 648: 646: 643: 641: 640:Physics stubs 638: 637: 635: 624: 619: 617: 612: 610: 605: 604: 598: 596: 592: 588: 583: 580: 576: 575: 557: 553: 547: 545: 536: 530: 526: 522: 518: 511: 497: 491: 487: 486: 478: 464: 458: 454: 453: 445: 437: 431: 427: 426: 418: 416: 401: 395: 391: 390: 382: 380: 365:(in Japanese) 364: 360: 354: 340:(in Japanese) 339: 335: 329: 327: 325: 320: 310: 307: 305: 302: 301: 295: 293: 289: 285: 284:wind velocity 281: 277: 273: 272: 271:vector fields 267: 263: 259: 255: 251: 247: 244:over time (a 243: 239: 235: 230: 228: 224: 220: 212: 208: 203: 199: 195: 191: 187: 182: 180: 176: 172: 168: 164: 163: 158: 154: 150: 146: 142: 138: 134: 130: 129: 124: 120: 119: 114: 110: 106: 102: 97: 95: 91: 87: 84: 80: 76: 72: 68: 64: 60: 56: 55: 49: 48: 43: 39: 35: 31: 27: 23: 19: 595:expanding it 584: 560:. Retrieved 558:. 2013-08-20 555: 516: 510: 499:. Retrieved 484: 477: 466:. Retrieved 451: 444: 424: 403:. Retrieved 388: 367:. Retrieved 362: 353: 342:. Retrieved 337: 269: 250:discretizing 231: 210: 206: 183: 170: 166: 160: 156: 149:ordered pair 126: 122: 116: 113:bound vector 112: 98: 51: 45: 33: 32:, or simply 29: 25: 21: 15: 264:(e.g., the 246:time series 204:component, 171:free vector 145:translation 105:engineering 61:), often a 634:Categories 562:2024-09-08 501:2024-09-08 468:2024-09-09 405:2024-09-08 369:2024-09-07 344:2024-09-07 315:References 258:evaluation 254:trajectory 292:bivectors 190:spacetime 109:mechanics 71:direction 67:magnitude 298:See also 242:sequence 202:timelike 59:unitless 40:-valued 587:physics 196:, with 175:support 141:newtons 135:on the 101:physics 90:SI unit 52:vector 36:) is a 16:In the 531:  492:  459:  432:  396:  280:region 186:metric 94:meters 50:and a 38:vector 34:vector 585:This 133:force 88:with 83:three 65:with 591:stub 529:ISBN 490:ISBN 457:ISBN 430:ISBN 394:ISBN 290:and 276:two- 103:and 69:and 20:, a 556:ISO 521:doi 165:or 121:or 99:In 92:of 77:in 636:: 554:. 543:^ 527:. 414:^ 378:^ 361:. 336:. 323:^ 252:a 229:. 96:. 28:, 622:e 615:t 608:v 597:. 565:. 537:. 523:: 504:. 471:. 438:. 408:. 372:. 347:. 214:0 211:c 207:t 57:(

Index

natural sciences
vector
physical quantity
unit of measurement
numerical value
unitless
Euclidean vector
magnitude
direction
position vector
physical space
three
Cartesian coordinates
SI unit
meters
physics
engineering
mechanics
point of application
directed line segment
force
Euclidean plane
newtons
translation
ordered pair
quantity dimension
line of application
support
displacement vector
metric

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