Changes

*[[Force]]s <math>\overrightarrow{F}</math> - A push or a pull which has a [[magnitude]] (size) and a direction.*[[Displacement]] <math>\overrightarrow{s}</math> - The distance and direction from one point in space to another.*[[Velocity]] <math>\overrightarrow{v}</math> - The [[speed]] and direction of that an [[object]]is moving.*[[Acceleration]] <math>\overrightarrow{a}</math> - The rate of change of [[velocity]] and the direction of this change.If a quantity does not include direction, then it is called a [[scalar]], not a [[vector]]. ===Representing Vectors===: [[Vector]]s are written with either an underline (<math>\underline{F}</math>,<math>\underline{s}</math>,<math>\underline{v}</math>,<math>\underline{a}</math>) or an arrow above (<math>\overrightarrow{F}</math>,<math>\overrightarrow{s}</math>,<math>\overrightarrow{v}</math>,<math>\overrightarrow{a}</math>).: [[Vector]]s are often drawn on [[diagram]]s. They are drawn as an arrow because an arrow can show the [[magnitude]] (the length of the arrow) and the direction (which way the arrow is pointing).{| class="wikitable"|-|[[File:Vectora.png|center|200px]]|[[File:Vectorb.png|center|200px]]|-| style="height:20px; width:200px; text-align:center;" |The [[vector]] <math>\underline{a}</math> is shown by this arrow. The length of the arrow represents the [[magnitude]] of the [[vector]] and the direction of the arrow shows the direction of the [[vector]].| style="height:20px; width:200px; text-align:center;" |The [[vector]] <math>\underline{b}</math> is shown by this arrow. The length of the arrow represents the [[magnitude]] of the [[vector]] and the direction of the arrow shows the direction of the [[vector]].|-| style="height:100px; width:400px; text-align:left;" colspan= "2"|The arrow <math>\underline{b}</math> is shorter than the arrow <math>\underline{a}</math> so the [[vector]] <math>\underline{b}</math> has a smaller [[magnitude]] than <math>\underline{a}</math>. It can also be seen that [[vector]] <math>\underline{b}</math> has a different direction to [[vector]] <math>\underline{a}</math>.|}: Using a [[diagram]] two [[vector]] quantities can be added together by drawing the arrows end to end.{| class="wikitable"|-|[[File:Vectora+b.png|center|300px]]|[[File:Vectora+b=c.png|center|300px]]|-| style="height:20px; width:200px; text-align:center;" |The two [[vector]]s can be added by placing the start of one [[vector]] at the end of the other.| style="height:20px; width:200px; text-align:center;" |A new [[vector]] <math>\underline{c}</math> is created from the addition of <math>\underline{a}</math> and <math>\underline{b}</math>. <math>\underline{a}+\underline{b}=\underline{c}</math>|-| style="height:100px; width:400px; text-align:left;" colspan= "2"|If the [[vector]]s are drawn [[accuracy|accurately]] in [[length]] using a [[ruler]] and in direction using a [[protractor]] the [[length]] and direction of the new [[vector]] can be [[measure]]d from the [[diagram]]. This type of [[Scale Diagram]] can be used to find the [[magnitude]] and direction of the new [[vector]] without calculation.|} ===References=======AQA==== :[https://www.amazon.co.uk/gp/product/0008158770/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0008158770&linkCode=as2&tag=nrjc-21&linkId=ec31595e720e1529e49876c3866fff6e ''Vector, pages 143, 157, 162-3, GCSE Physics; Student Book, Collins, AQA '']:[https://www.amazon.co.uk/gp/product/0008158770/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0008158770&linkCode=as2&tag=nrjc-21&linkId=ec31595e720e1529e49876c3866fff6e ''Vector; diagram, page 157, GCSE Physics; Student Book, Collins, AQA '']:[https://www.amazon.co.uk/gp/product/019835939X/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=019835939X&linkCode=as2&tag=nrjc-21&linkId=57e96876985fc39b1a3d8a3e3dc238b6 ''Vectors, pages 114-115, 130-131, GCSE Physics; Third Edition, Oxford University Press, AQA '']:[https://www.amazon.co.uk/gp/product/1471851370/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851370&linkCode=as2&tag=nrjc-21&linkId=01c69b0ae058f809cf636033e6ba793e ''Vectors, pages 117, 148, GCSE Physics, Hodder, AQA '']:[https://www.amazon.co.uk/gp/product/1782946403/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782946403&linkCode=as2&tag=nrjc-21&linkId=32a0abb60dff015b15b50e9b1d7b4644 ''Vectors, pages 127, 147, GCSE Combined Science Trilogy; Physics, CGP, AQA '']:[https://www.amazon.co.uk/gp/product/1782945970/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945970&linkCode=as2&tag=nrjc-21&linkId=a120d24dcc7cc7a58192069a3aafc1d2 ''Vectors, pages 147, 148, GCSE Physics; The Complete 9-1 Course for AQA, CGP, AQA '']:[https://www.amazon.co.uk/gp/product/1471851362/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851362&linkCode=as2&tag=nrjc-21&linkId=7d78d70a2044ee9982dae010c94af92a ''Vectors, pages 207, 226, GCSE Combined Science Trilogy 2, Hodder, AQA '']:[https://www.amazon.co.uk/gp/product/1782945598/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945598&linkCode=as2&tag=nrjc-21&linkId=ad276ad49df77ab4b40ab4fd0fe10396 ''Vectors, pages 42, 203, GCSE Combined Science; The Revision Guide, CGP, AQA '']:[https://www.amazon.co.uk/gp/product/178294558X/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=178294558X&linkCode=as2&tag=nrjc-21&linkId=f0dfb66dafcb0c6e9449e7b1a4ae1ac479 ''Vectors, pages 51, 54, 60, GCSE Physics; The Revision Guide, CGP, AQA '']:[https://www.amazon.co.uk/gp/product/0198359373/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0198359373&linkCode=as2&tag=nrjc-21&linkId=952a73bbb09d222ecc4b50d200679849 ''Vectors, pages 83, 224-225, GCSE Biology; Third Edition, Oxford University Press, AQA '']:[https://www.amazon.co.uk/gp/product/1782945563/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945563&linkCode=as2&tag=nrjc-21&linkId=9a1d023a374038e6072f33c4f3cf808b ''Vectors, pages, 46, 48, 99, GCSE Biology; The Revision Guide, CGP, AQA '']:[https://www.amazon.co.uk/gp/product/1471851362/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851362&linkCode=as2&tag=nrjc-21&linkId=7d78d70a2044ee9982dae010c94af92a ''Vectors; Drawing them, pages 208, GCSE Combined Science Trilogy 2, Hodder, AQA '']:[https://www.amazon.co.uk/gp/product/1782946381/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782946381&linkCode=as2&tag=nrjc-21&linkId=5ec5fc3f6429e30c1d9ab9bca2bccf93 ''Vectors; in genetic engineering, page 240, GCSE Combined Science Trilogy; Biology, CGP, AQA '']:[https://www.amazon.co.uk/gp/product/1782945954/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945954&linkCode=as2&tag=nrjc-21&linkId=100574c08fbbb64318256eb79ed61a76 ''Vectors; in genetic engineering, page 294, GCSE Biology, CGP, AQA '']:[https://www.amazon.co.uk/gp/product/1471851370/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851370&linkCode=as2&tag=nrjc-21&linkId=01c69b0ae058f809cf636033e6ba793e ''Vectors; momentum as, page 170, GCSE Physics, Hodder, AQA '']:[https://www.amazon.co.uk/gp/product/1471851362/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851362&linkCode=as2&tag=nrjc-21&linkId=7d78d70a2044ee9982dae010c94af92a ''Vectors; Momentum as, pages 245, 246, GCSE Combined Science Trilogy 2, Hodder, AQA '']:[https://www.amazon.co.uk/gp/product/1782945954/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945954&linkCode=as2&tag=nrjc-21&linkId=100574c08fbbb64318256eb79ed61a76 ''Vectors; of disease pages 130, 133 ,135, GCSE Biology, CGP, AQA '']:[https://www.amazon.co.uk/gp/product/1782946381/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782946381&linkCode=as2&tag=nrjc-21&linkId=5ec5fc3f6429e30c1d9ab9bca2bccf93 ''Vectors; of disease, pages 124, 127, 129, GCSE Combined Science Trilogy; Biology, CGP, AQA '']:[https://www.amazon.co.uk/gp/product/1471851370/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851370&linkCode=as2&tag=nrjc-21&linkId=01c69b0ae058f809cf636033e6ba793e ''Vectors; representation by arrows, page 119, GCSE Physics, Hodder, AQA ''] ====Edexcel==== :[https://www.amazon.co.uk/gp/product/1782945741/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945741&linkCode=as2&tag=nrjc-21&linkId=30da4f2178da182547b62a7329d13b57 ''Vectors (biology), pages 37, 39, GCSE Combined Science; The Revision Guide, CGP, Edexcel '']:[https://www.amazon.co.uk/gp/product/1292120207/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1292120207&linkCode=as2&tag=nrjc-21&linkId=22455ff53961978667722edaa64c0be5 ''Vectors (disease transfer), page 105, GCSE Biology, Pearson, Edexcel '']:[https://www.amazon.co.uk/gp/product/1292120207/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1292120207&linkCode=as2&tag=nrjc-21&linkId=22455ff53961978667722edaa64c0be5 ''Vectors (genetic), page 89, GCSE Biology, Pearson, Edexcel '']:[https://www.amazon.co.uk/gp/product/1782945733/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945733&linkCode=as2&tag=nrjc-21&linkId=2a2dbec9db6bf5766c0458d908fa0a52 ''Vectors, page 12, GCSE Physics; The Revision Guide, CGP, Edexcel '']:[https://www.amazon.co.uk/gp/product/1782948163/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948163&linkCode=as2&tag=nrjc-21&linkId=0fdbfd5dd397d6e24a9dfb250f08587f ''Vectors, pages 22, 205, GCSE Physics, CGP, Edexcel '']:[https://www.amazon.co.uk/gp/product/1292120223/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1292120223&linkCode=as2&tag=nrjc-21&linkId=068ecf40278c32406a7f1c6e66751417 ''Vectors, pages 2-3, 132, GCSE Physics, Pearson Edexcel '']:[https://www.amazon.co.uk/gp/product/1292120223/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1292120223&linkCode=as2&tag=nrjc-21&linkId=068ecf40278c32406a7f1c6e66751417 ''Vectors, pages 3, 12, 121, GCSE Physics, Pearson Edexcel '']:[https://www.amazon.co.uk/gp/product/1782946748/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782946748&linkCode=as2&tag=nrjc-21&linkId=a4f0348fc37d0ba1bb52d27f8679581f ''Vectors; in disease, page 55, GCSE Biology; The Revision Guide, CGP, Edexcel '']:[https://www.amazon.co.uk/gp/product/1782948120/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948120&linkCode=as2&tag=nrjc-21&linkId=dedef775c6a43dbb0a609441525adac0 ''Vectors; in disease, pages 154, 156, GCSE Biology, CGP, Edexcel '']:[https://www.amazon.co.uk/gp/product/1782946748/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782946748&linkCode=as2&tag=nrjc-21&linkId=a4f0348fc37d0ba1bb52d27f8679581f ''Vectors; in genetic engineering, page 52, GCSE Biology; The Revision Guide, CGP, Edexcel '']:[https://www.amazon.co.uk/gp/product/1782948120/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948120&linkCode=as2&tag=nrjc-21&linkId=dedef775c6a43dbb0a609441525adac0 ''Vectors; in genetic engineering, pages 144, 155, GCSE Biology, CGP, Edexcel '']:[https://www.amazon.co.uk/gp/product/1292120207/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1292120207&linkCode=as2&tag=nrjc-21&linkId=22455ff53961978667722edaa64c0be5 ''Vectors; viruses, page 195, GCSE Biology, Pearson, Edexcel ''] ====OCR====:[https://www.amazon.co.uk/gp/product/1782945695/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945695&linkCode=as2&tag=nrjc-21&linkId=ceafcc80bcad6b6754ee97a0c7ceea53 ''Vector quantities, page 157, Gateway GCSE Combined Science; The Revision Guide, CGP, OCR '']:[https://www.amazon.co.uk/gp/product/0198359810/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0198359810&linkCode=as2&tag=nrjc-21&linkId=d768d99f1a06f7c12fab40e5aef85a55 ''Vectors (genetic engineering), page 204, Gateway GCSE Biology, Oxford, OCR '']:[https://www.amazon.co.uk/gp/product/0198359837/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0198359837&linkCode=as2&tag=nrjc-21&linkId=3c4229e8b023b2b60768e7ea2307cc6f ''Vectors, pages 50-51, 65, Gateway GCSE Physics, Oxford, OCR ''] ==Beyond the Curriculum=={{#ev:youtube|https://www.youtube.com/watch?v=ml4NSzCQobk}}