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Q: If two displacement vectors add to yield a total displacement of zero what do you know about the two displacements?
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Is it possible to add two vectors having different magnitudes and yield zero resultant?

It is certain that two vectors of different magnitudes cannot yield a zero resultant force.


Ten vectors together add to give a zero resultant it is possible that nine of these vectors are on the same plane but the tenth is not on this plane?

No. The tenth vector would have to be matched by one equal and opposite vector to yield a zero resultant, or by multiple vectors in the second plain collectively yielding a zero resultant for that plane. It would be possible, for example, for 8 vectors to be on the same plane and two on a different plane to give a zero resultant.


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