If five consecutive sides of a regular hexagon represent five unit vectors acting in the same sense, find their resultant vector. (taking first side on x-axis)
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Solution
∵ Regular hexagon is a closed figure.
⇒→AB+→BC+→CD+→DE+→EF+→FA=0
∴→AB+→BC+→CD+→DE+→EF=−→FA
∴ The resultant vector of five consecutive sides=−→FA
∴ Magnitude=1
Angle between any two consecutive sides=(2n−4)×90n=8×906=120