If ` vec aa n d vec b` are the vectors determined by two adjacent sides of a regular hexagon, what are the vectors determined by the other sides taken in order?

Explanation

If a and b are the vectors determined by the adjacent sides of a regular hexagon

Let ABCDEF be a regular hexagon such that

`AB=a,BC=b`

Now `AC=AB+BC`

`=a+b`

and,`AD=2BC`

`∴AD=2b`

In `ΔADC,AC+CD=AD`

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