What are vectors?

Answer 1

vectors are like numbers, but they also have a direction.
The best first place to try on general questions like this is google.
You will find many examples, illustrations, discussions, and videos.

Answer 2

vectors are quantities that have both magnitude and direction

forces , field strengths , velocities , displacements , etc.

Answer 3

The way I usually bring it up is I can tell my car's speed with a speedometer but to get the velocity I also need a compass.