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: '''Scale diagrams''' use a 'scale' to show how the units of the [[vector]] are represented by a single unit of length (cm or mm). For example 100N = 1cm, so an arrow of 5cm represents a [[force]] of 500N.
: '''Scale diagrams''' can be used to add [[force]]s, [[displacement]]s, [[velocity|velocities]] or [[acceleration]]s.
: A '''scale diagram''' can be used to find the [[Resultant Force|resultant]] [[force]] on an [[object]] by drawing rather than calculation.
===Examples===
|[[File:ResolvingVectors1.png|center|200px]]
|[[File:ResolvingVectors2.png|center|200px]]
|[[File:ResolvingVectors3ResolvingVectors3b.png|center|200px]]
|-
| style="height:100px; width:200px; text-align:left;"|A [[boat]] is being pulled by two separate tug boats attached by a cable. The tension in each cable is 5000N.| style="height:100px; width:200px; text-align:left;"|The tug boats and cables are replaced by [[vector]] [[force]]s from the [[boat]].
| style="height:100px; width:200px; text-align:left;"|The two [[force]]s are redrawn in a a [[Scale Diagram]] with scale is 1000N = 1cm placing the start of one [[vector]] [[force]] at the end of the other.
|-
| style="height:100px; width:400px; text-align:left;" colspan= "3"|This [[Scale Diagram]] shows that the two arrows add to make a length of 9.4cm, which represents 9400N, in a direction of 90° from the [[North]] which is an [[East]]erly Easterly direction.
|}
{| class="wikitable"
|-
|[[File:ScaleDiagramMethod1.png|center|100px]]
|[[File:ScaleDiagramMethod2.png|center|100px]]
|[[File:ScaleDiagramMethod3.png|center|100px]]
|[[File:ScaleDiagramMethod4.png|center|100px]]
|[[File:ScaleDiagramMethod5.png|center|100px]]
|-
| style="height:100px; width:200px; text-align:left;"|Choose a scale for your '''scale diagram'''. 1cm=100N.
| style="height:100px; width:200px; text-align:left;"|Draw a [[horizontal]] line and then use a [[protractor]] to make a faint line 60° up from the [[horizontal]].
| style="height:100px; width:200px; text-align:left;"|Use a [[ruler]] to draw a line 6cm long at an [[angle]] of 60° to the [[horizontal]].
| style="height:100px; width:200px; text-align:left;"|Draw another horizontal line at the end of the [[vector]] and then use a [[protractor]] to make a faint line 50° down from the horizontal.
| style="height:100px; width:200px; text-align:left;"|Use a [[ruler]] to draw a line 5cm long, starting at the end of the first [[vector]] at an [[angle]] of 50° down from the [[horizontal]].
|-
| style="height:100px; width:500px; text-align:left;" colspan= "5"|Use a [[ruler]] to [[measure]] the length from the start of the first [[vector]] to the end of the second. The length is roughly 6.4cm (636N). Use a [[protractor]] to [[measure]] the [[angle]] from the [[horizontal]]. The [[angle]] should be 12.4° up from the [[horizontal]].
|}
===References===
====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 ''Scale diagrams, page 115, GCSE Physics; Third Edition, Oxford University Press, AQA '']