A vector is a qunatity having a magnitude and direction.
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The number.
Its directiondirection
A vector could describe a something physical like a force or velocity or acceleration or torque for example. The units would be part of the magnitude of the vector. For example, the wind is blowing South at 10 mph. The magnitude is 10 miles per hour.
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.
Because to completely describe it you must know both how strong it is (magnitude) and in what direction it points.