Convenient notation for vectors of the same magnitude but in the opposite direction.
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A null vector has no magnitude, a negative vector does have a magnitude but it is in the direction opposite to that of the reference vector.
No because magnitude is like length and you cannot have negative length
When the arrow representing the vector would point toward negative x.
No, the value can't be negative because magnitude of a vector is just how long it is regardless of its direction. :-)
The magnitude of a vector is always treated as non negative and the minus sign indicates the reversal of that vector through an angle of 180 degree.