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Is it possible that there are $3$ vectors, $a, b, c$, such that $a + b + c = 0$ but $|a| = 1$, $|b| = 2$ and $|c| = 4$?

If yes why? and if no why?. I'm trying to get the solution since last $2$ days, so kindly help me out...

2 Answers 2