Cópia de Decomposition of a Vector

Given any (nonzero) vectors

and

, you can always split

into the sum of two vectors

and

, with

in the same direction as

and

orthogonal to

. In the illustration below, you are free to drag the tips of the vectors

and

To see how you can use

and

to find

and

, think about the following:

You can use these three equations to figure out what the number

must be, and once you know

, you can easily find

and

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