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Simplify: [ vec a- vec b, vec b- vec c, ...

Simplify: `[ vec a- vec b, vec b- vec c, vec c- vec a]`

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`=[ vec a- vec b, vec b- vec c, vec c- vec a]`
`=(vec a- vec b).[(vec b- vec c) times (vec c- vec a)]=(vec a- vec b)[vec b times vec c-vec a times vec b -0 + vec c times vec a]`
`=[vec a .(vec b times vec c) + vec a .(vec c times vec a) - vec a .(vec a times vec b) - vec b .(vec b times vec c) - vec b .(vec c times vec a) - vec b .(vec a times vec b) ]`
`=vec a.(vec b times vec c) - vec b. (vec c times vec a)=[ vec a, vec b, vec c]-[ vec b, vec c, vec a]`
`=[ vec a, vec b, vec c]-[ vec a, vec b, vec c]=0`

Hence, the value of `[ vec a- vec b, vec b- vec c, vec c- vec a]=0`
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