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A B C D E is pentagon, prove that v...

`A B C D E` is pentagon, prove that ` vec A B` + ` vec B C` + ` vec C D` + ` vec D E+ vec E A` = ` vec0` ` vec A B+ vec A E+ vec B C+ vec D C+ vec E D+ vec A C=3 vec A C`

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`{R}= vec{ {AB}}+ vec{ {AE}}+ vec{ {BC}}+ vec{ {DC}}+ vec{ {ED}}+ vec{ {AC}} `
` =( vec{ {AB}}+ vec{ {BC}})+( vec{ {AE}}+ vec{ {ED}}+ vec{ {DC}})+ vec{ {AC}} `
`= vec{ {AC}}+ vec{ {AC}}+ vec{ {AC}}=3 vec{ {AC}} `
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