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If veca and vecb are unit vectors represented by the adjacent sides of a regular hexagon, taken in order, what are the vectors represented by the other sides taken in order? |
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Answer» Solution :LET `vec(AB)` = `VECA, vec(BC)` = `VECB` `implies vec(AC)` = `veca+vecb` `vec(AD)` = `2vec(BC)`= `2vecb` (therefore `vec(AD)` is parallel to `vec(BC)` and twice of `vec(BC)`) therefore `vec(CD)` = `vec(AD)-vec(AC)` = `2vecb-(veca+vecb)` = `vecb-veca` `vec(DE)` = `-veca` `vec(EF)` = `-vecb` `vec(FA)` = `-vec(CD)` = `veca-vecb`. |
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