A vector3 is 3 floating point numbers one for x, y and z and gives you a point in space. If you have 2 of them, you can draw a line between point 1 and point 2, if you make an object follow that line over a set period of time you can make it move.
The vector3 can help give you an arrow, and the length of the arrow is the velocity of the vector.
The difference between 2D and 3D is that in 2D you only have 1 plane that an object can move on, in 3D there are 2 more planes at 90 degree angles to the others.
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