ABCDEF is a regular hexagon. Find the value of. VectorAB+AC+AD+EA+FA.

2 answers

AB = AB
AC = AB+BC
AD = AB+BC+CD
EA = -AE = -(AB+BC+CD+DE)
FA = -AF = -(AB+BC+CD+DE+EF)
You can add those up and play around with the result; not sure just where you want to go with it.
I suspect you want to get to here:
AB+AC+AD+EA+FA=4AB