Their DIFFERENCE will be zero if and only if they have the SAME direction.
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Their sum can be zero only if their magnitudes are equal and their directions are exactly opposite.
Yes, if the dot product of two nonzero vectors v1 and v2 is nonzero, then this tells us that v1 is PERPENDICULAR to v2. :)
What are difference between scalars and vectors
The vectors can not be both equal, but they can have the same magnitude of 3, if they are at a 60 degree angle.
Vectors have a direction associated with them, scalars do not.