Yes. As long as no single vector has a bigger magnitude than the sum of the
magnitudes of the other two.
Simple example:
#1). 100 pounds pointing north
#2). 70 pounds pointing south
#3). 30 pounds pointing south
Sum = zero.
-- The minimum magnitude that can result from the combination of two vectors is the difference between their magnitudes. If their magnitudes are different, then they can't combine to produce zero. -- But three or more vectors with different magnitudes can combine to produce a zero magnitude.
It is certain that two vectors of different magnitudes cannot yield a zero resultant force.
Two vectors, no; three vectors yes.
It is a displacement equal in magnitude to the difference between the two vectors, and in the direction of the larger vector.
It depends. Magnitude is technically the length of the vector represented by v. our equation of the magnitude is given by: v= SQRT( x^2 + y^2) You can have 2 similar vectors pointing at different directions and still get the same magnitude.
No.
Yes, two vectors with different magnitudes can be combined to give a zero resultant if they are in opposite directions. However, it is not possible for three vectors with different magnitudes to give a zero resultant because they must have specific magnitudes and directions to cancel each other out completely.
-- The minimum magnitude that can result from the combination of two vectors is the difference between their magnitudes. If their magnitudes are different, then they can't combine to produce zero. -- But three or more vectors with different magnitudes can combine to produce a zero magnitude.
Yes, two vectors of different magnitudes can be combined to give a zero resultant if they are equal in magnitude but opposite in direction. For three vectors to give a zero resultant, they must form a closed triangle or meet at a common point where the sum of the vectors equals zero.
It is certain that two vectors of different magnitudes cannot yield a zero resultant force.
Two minimum coplanar vectors with different magnitudes can be added to produce a zero resultant by choosing vectors in opposite directions and adjusting their magnitudes appropriately.
Yes, two vectors with different magnitudes can be combined to give a vector sum of zero if they are in opposite directions and their magnitudes are appropriately chosen. The magnitude of one vector must be equal to the magnitude of the other vector, but in the opposite direction, to result in a vector sum of zero.
No. Best case scenario is that they are pointed directly opposite one another, and that is insufficient to cancel by definition of having different magnitudes.
Not unless they also have the same direction, i.e. they are parallel.
The sum of two vectors having the same direction is a new vector. It's magnitude is the sum of the magnitudes of the original two vectors, and its direction is the same as their common direction.
Two vectors having same magnitude but different direction are called equivalent vectors.
Two vectors, no; three vectors yes.