Only if one of them has a magnitude of zero, so, effectively, no.
Yes, if one of the vectors is the null vector.
If the directions of two vectors with equal magnitudes differ by 120 degrees, then the magnitude of their sum is equal to the magnitude of either vector.
With three vectors spaced 120 degrees apart and with identical magnitudes the vector sum will be 0.
Not really. The sum of the magnitudes is a scalar, not a vector - so they can't be equal. But the sum of the two vectors can have the same magnitude, if both vectors point in the same direction.
Two is the minimum number of vectors that will sum to zero.
Yes, if one of the vectors is the null vector.
If the directions of two vectors with equal magnitudes differ by 120 degrees, then the magnitude of their sum is equal to the magnitude of either vector.
The magnitude of the vector sum will only equal the magnitude of algebraic sum, when the vectors are pointing in the same direction.
With three vectors spaced 120 degrees apart and with identical magnitudes the vector sum will be 0.
When the angle between any two component vectors is either zero or 180 degrees.
iff the angle between them is 120 degrees
Not really. The sum of the magnitudes is a scalar, not a vector - so they can't be equal. But the sum of the two vectors can have the same magnitude, if both vectors point in the same direction.
Two is the minimum number of vectors that will sum to zero.
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.
When all the vectors have the same direction.
Three vectors sum to zero under the condition that they are coplanar (lie in a common plane) and form a triangle. If the vectors are not coplanar, they will not sum to zero. Another way of looking at it is that the sum is zero if any vector is exactly equal in magnitude and opposite in direction to the vector sum (so-called resultant) of the remaining two.
Yes. A vector has magnitude and direction. If the vectors have equal magnitude and directly opposite directions their sum will be zero.