No.
Two vectors: no. Three vectors: yes.
Two or more vectors combine to form a resultant sum; V1 + V2 + ...+ Vn = VR
The only way that two vectors add up to zero is if they have equal magnitude and opposite direction. If the magnitudes are not equal then no, they cannot give a zero resultant.
No.
No. The largest possible resultant magnitude is the sum of the individual magnitudes.The smallest possible resultant magnitude is the difference of the individual magnitudes.
Two vectors: no. Three vectors: yes.
Two or more vectors combine to form a resultant sum; V1 + V2 + ...+ Vn = VR
The only way that two vectors add up to zero is if they have equal magnitude and opposite direction. If the magnitudes are not equal then no, they cannot give a zero resultant.
No.
-- A singe vector with a magnitude of zero produces a zero resultant.-- Two vectors with equal magnitudes and opposite directions produce a zero resultant.
No.
No. The largest possible resultant magnitude is the sum of the individual magnitudes.The smallest possible resultant magnitude is the difference of the individual magnitudes.
If they are equal in magnitude but act in opposite directions.
It is not possible. The maximum magnitude is obtained when the vectors are aligned and in this case the resultant has a magnitude which is the sum of the individual vectors. In the given example, the maximum possible magnitude for the resultant is 16 units. In general |a+b| <= |a| + |b| where a, b are vectors and |a| is the magnitude of a
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.
It is certain that two vectors of different magnitudes cannot yield a zero resultant force.
The maximum resultant is when both vectors are in the same direction. In this case, you just add 4 and 5.