Can two vectors of unequal magnitude add up to give the zero vector?

Can two vectors of unequal magnitude add up to give the zero vector?


Can three unequal vectors? Under what conditions?|||1 no


2 yes when the sup of 2 are equal and opposite to the third|||not 2 vectors but three vectors can|||(1) no


(2) yes


For example, go 4 miles east, 3 miles north, and 5 miles back to starting point.





EDIT


Don't start that example at the North Pole.|||come to think of it, two vectors of unequal magnitude can never add up to give zero vector.





but yes, 2 or more it is able to, under condition that their component x,y,z (assuming 3 dimensions, well you can have 1 dimension or infinite dimensions, it works all the same) add up to zero. which is a commonplace in studies of statics.