If they are of equal magnitude and opposite direction.
When the angle between two vectors is zero ... i.e. the vectors are parallel ... their sum is a vector in thesame direction, and with magnitude equal to the sum of the magnitudes of the two original vectors.
Yes. A vector has magnitude and direction. If the vectors have equal magnitude and directly opposite directions their sum will be zero.
Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.
Only if one of them has a magnitude of zero, so, effectively, no.
When they are equal in magnitude but opposite in direction.
Two is the minimum number of vectors that will sum to zero.
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.
The resultant of two vectors is a third vector., for example V1 + V2 = V3. V3 may be equal to zero, greater than zero or less than zero.
No. The vector resultant of addition of vectors is the vector that would connect the tail of the first vector to the head of the last. For any set of vectors to add to the zero vector, the endpoint of the last vector added must be coincident with the start point of the first. Therefore for the sum of only two vectors to have a chance of being the zero vector, the second vector must be in a direction exactly opposite the first. So you can tell that the result of adding the two vectors could only can be zero vector if the two vectors were of two equal magnitude.
When two vectors sum to zero, they must be equal in magnitude but opposite in direction. This relationship is known as the vectors being antiparallel.
The direction of the resultant vector with zero magnitude is arbitrary, since it indicates that the two equal and opposite vectors cancel each other out completely.
No, the sum of two vectors cannot be equal to either of the vectors. Adding two vectors results in a new vector, with a magnitude and direction that is determined by the individual vectors being added.