1.

A, B, C, D, E, F in that order, are the vertices of a regular hexagon with centre orgin. If the position vectors of the vertices A and B are respectively, 4hati+3hatj-hatk and -3hati+hatj+hatk, then DE is equal to

Answer»

`7hati+2hatj-2hatk`
`-7hati-2hatj+2hatk`
`3hati-hatj-hatk`
`-4hati-3hatj+2hatk`

SOLUTION :GIVEN, `OA=4hati+3hatj-hatk`
`OB=-3hati+hatj+hatk`
Now, `AB=OB-OA=-7hati-2hatj+2hatk`
`THEREFORE DE=-AB=7hati+2hatj-2hatk`


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