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When three vectors equally spaced out that is make an angle of 120° and placed tail to tail the vectors cancel out and have a net effect of zero.

Can this be generalized to all positive odd number of vectors equally spaced out .(excluding just 1 vector)

If so can it be proved ?

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  • $\begingroup$ Are proof questions not allowed ? Sorry I am not aware of the site's policies . $\endgroup$ – Glowingbluejuicebox Dec 26 '20 at 14:48
  • $\begingroup$ Would Mathematics be a better home for this question? $\endgroup$ – Qmechanic Dec 26 '20 at 18:05
  • $\begingroup$ @Qmechanic it's ok sir/ma'am I got my answer. $\endgroup$ – Glowingbluejuicebox Dec 27 '20 at 4:50
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With N vectors of equal magnitude, the number does not need to be odd. If the angle from one vector to the next = 360/N degrees, they will form a closed figure. (consider a square.)

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  • $\begingroup$ Mind blown ,thank you ! $\endgroup$ – Glowingbluejuicebox Dec 26 '20 at 18:01

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