If two vectors are represented by the same magnitude and direction they are said to be equal.
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If both magnitude and direction are the same then the two vectors are said to be equal.
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.
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.
Only if one of them has a magnitude of zero, so, effectively, no.
No, the sum of two vectors cannot be equal to either of the vectors individually. In vector addition, the resultant vector is determined by the magnitude and direction of the individual vectors. The sum of two vectors represents the combination of their effects, resulting in a new vector with different properties than the original vectors.