If three vectors add up to a zero resultant it is correct to say that
A) it is impossible to find three vectors that add up to a zero resultant.
B) the three vectors must be co-linear.
C) the three vectors must be in a plane.
D) the three vectors must have the same magnitude.
E) the three vectors cannot have the same magnitude.

Question

Quizplus · Accepted Answer

If three vectors add up to a zero resultant, it means that they cancel each other out. This can only happen if the vectors lie in the same plane and have directions such that they form a closed triangle. It is not required for them to be co-linear or to have the same magnitude. It is possible to find three such vectors, for example, (1, 0, -1), (0, 1, -1), and (-1, -1, 2).

If Three Vectors Add Up to a Zero Resultant It