If vector a+b+c=0, then prove vector axb=bxc=cxa.

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[IIT 1986] Prove that a + b + c = 0 if vectors a, b, c satisfy a X b = b X c = c X a.[IIT 1986] Prove that a + b + c = 0 if vectors a, b, c satisfy a X b = b X c = c X a.
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