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Motion In A Plane

Question
CBSEENPH11018064

Can three vectors not in one plane give a zero resultant? Can four vectors also do? 

Solution

The resultant of the two vectors lie in the same plane. Hence, three vectors in single plane cannot give the resultant zero. For the resultant of three vectors to be zero, resultant of two should be equal and opposite to the third. 
Here, since the three vectors do not lie in the same plane, the resultant of the two cannot be in opposite direction of the third, hence resultant can not be zero.