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Is it possible to add two vectors having different magnitudes and yield zero resultant? Explain. How about instead of only two vectors, we have three vectors to be added? Explain.

Is it possible to add two vectors having different magnitudes and yield zero resultant? Explain. How about instead of only two vectors, we have three vectors to be added? Explain.

Grade:12

1 Answers

Avishek Bhagat
askIITians Faculty 67 Points
3 months ago
Dear Student,

two vectorsof equalmagnitudethat are pointing in opposite directions will sum tozero.Two vectorsof unequalmagnitude cannever sum tozero.Ifthey point along the same line, since theirmagnitudesaredifferent, the sum willnotbezero.

a+b=c means that c equals a+b algebraically, this is notthecasewith vectors.Wecannotadd the magnitudesoftwo vectorstoget the resultantlikewewouldadd2 &3toget5; unless they act inthesame direction.

in case of three vectors the sum of two might be equal to third or vice vers so zero resultant is possible if this is the case.

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