No. It's the log of the ratio of two power levels. It a magnitude without a direction.
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The decibel scale is a logarithmic scale. Scroll down to related links and look at "Decibel - Wikipedia" and "Sound level meter - Wikipedia".
Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.
There is no point in doing either one of these. A decibel, being the log of a ratio, is added to or subtracted from another decibel.
The zero vector is both parallel and perpendicular to any other vector. V.0 = 0 means zero vector is perpendicular to V and Vx0 = 0 means zero vector is parallel to V.
Resultant vector or effective vector