If three vectors add to zero, they must all have equal magnitudes.

Name: If three vectors add to zero, they must all have equal magnitudes.
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Quizplus · Accepted Answer

Three vectors can add to zero without having equal magnitudes if they are oriented properly. For example, two vectors can have unequal magnitudes but when combined with a third vector that is appropriately sized and directed, the resultant vector sum can be zero. This is due to vector addition being dependent on both magnitude and direction.

If Three Vectors Add to Zero, They Must All Have