# To find the ______ solution when adding vectors simply draw and label the given information.

mathsworkmusic | (Level 2) Educator

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Missing word problem, and math problem combined.

To find the __________solution when adding vectors simply draw and label the given information.

Insert 'resultant'.

Here is an example of adding two vectors:

`((1),(2)) + ((2),(1)) = ?`

` `

If we let `A = ((1),(2)) `  and `B = ((2),(1)) ` and call the resultant   `C `   then we wish to find `C `  such that

`A + B = C `

Draw the vectors, labelling which one is which. The resultant is the direct route from the start point to the end point after moving according to each vector in turn. It doesn't matter which way round you add the vectors, as addition of vectors is commutative.

From the diagram we can now see that

`A + B = ((3),(3)) `

so that we have that the resultant is  `C = ((3),(3)) `

We also see that this result is also arrived at by adding the x components (the x component is the top component in a vector) and y components (the y component is the bottom component in a vector) together individually, and that is the general rule for adding vectors.

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