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Any vector could be resolved into perpendicular components one along x axis and the other along y axis.

So all vectors would be split into two components. Now we can easily add the x components and y components. If all in the same simply addition. If some are in opposite we have to change its sign and add them.

Finally we will have only two one along x and another along y. Now we can get the effective by using Pythagoras.

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Q: What is component method of vector vector addition?
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