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===About Resultant Forces===
: A '''resultant force''' can be calculated by taking [[force]]s that act along the same line and add them together.: If the [[force]]s are in the same direction as each other, then they have a [[Positive (Number)|value]].: If one [[force]] is acting in the opposite directions direction to another one of the [[force]]s is given a [[Negative (Number)|negative]] value. {| class="wikitable"|-|[[File:ForceNumberLineVertical.png|center|200px]]| style="height:20px; width:300px; text-align:center;" |If the 'up' direction is chosen to be [[Positive (Number)|positive]] then any [[vector]] pointing 'up' has a [[Positive (Number)|positive]] value and any [[vector]] pointing 'down' has a [[Negative (Number)|negative]] value. In this [[diagram]] the green [[vector]] has a value of +2 while the red [[vector]] has a value of -4. If the number lines represent the number of [[Newton]]s [[force]] then the [[Resultant Force]] is the two values added together. F<sub>Resultant</sub> = (+2N) + (-4N) F<sub>Resultant</sub> = -2N upwards|} {| class="wikitable"|-|[[File:ForceNumberLineHorizontal.png|center|400px]]|-| style="height:20px; width:400px; text-align:center;" |If the 'right' direction is chosen to be [[Positive (Number)|positive]] then any [[vector]] pointing 'right' has a [[Positive (Number)|positive]] value and any [[vector]] pointing 'left' has a [[Negative (Number)|negative]] value. In this [[diagram]] the blue [[vector]] has a value of +3 while the yellow [[vector]] has a value of -2. If the number lines represent the number of [[Newton]]s [[force]] then the [[Resultant Force]] is the two values added together. F<sub>Resultant</sub> = (+3N) + (-2N) F<sub>Resultant</sub> = 1N to the right|} {| class="wikitable"|-|[[File:ForceNumberLineVertical.png|center|200px]]| style="height:20px; width:300px; text-align:center;" |If the 'up' direction is chosen to be [[Positive (Number)|positive]] then any [[vector]] pointing 'up' has a [[Positive (Number)|positive]] value and subtracting one from any [[vector]] pointing 'down' has a [[Negative (Number)|negative]] value. In this [[diagram]] the green [[vector]] has a value of +2 while the red [[vector]] has a value of -4. If the number lines represent the number of [[Newton]]s [[force]] then the [[Resultant Force]] is the two values added together. F<sub>Resultant</sub> = (+2N) + (-4N) F<sub>Resultant</sub> = -2N upwards|} {| class="wikitable"|-|[[File:ForceNumberLineHorizontal.png|center|400px]]|-| style="height:20px; width:400px; text-align:center;" |If the 'right' direction is chosen to be [[Positive (Number)|positive]] then any [[vector]] pointing 'right' has a [[Positive (Number)|positive]] value and any [[vector]] pointing 'left' has a [[Negative (Number)|negative]] value. In this [[diagram]] the blue [[vector]] has a value of +3 while the yellow [[vector]] has a value of -2. If the number lines represent the number of [[Newton]]s [[force]] then the [[Resultant Force]] is the othertwo values added together. F<sub>Resultant</sub> = (+3N) + (-2N) F<sub>Resultant</sub> = 1N to the right|} ===Examples===
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'''Choose which directions are [[Positive (Number)|positive]].'''
: Up is [[Positive (Number)|positive]].
: Right is [[Positive (Number)|positive]].
'''Calculate the [[Resultant Force]].'''
: There is 4[[N]] up and the 7[[N]] down.
| style="height:20px; width:250px; text-align:left;" |
'''Choose which directions are [[Positive (Number)|positive]].'''
: Up is [[Positive (Number)|positive]].
: Right is [[Positive (Number)|positive]].
'''Calculate the [[Resultant Force]].'''
: There is 4[[N]] left and the 3[[N]] right.
| style="height:20px; width:250px; text-align:left;" |
: There is 6[[N]] up and the 6[[N]] down.