What is vector quantity? what are two examples of that?

A vector quantity is a measurement that refers to both the magnitude of the object/medium and the direction the object/medium is traveling. In most cases, vectors are positive when traveling right and/or upwards and negative when traveling left and/or downwards.

Examples: 1. A car is moving 50 m/s East. Another car is moving 50 m/s West. Are these vectors the same? The answer would be no. Even though the magnitude of both cars are 50 m/s, we see that the direction in which each car is traveling is different.
2. Two bikes are traveling on a road going North. Bike A is traveling 10 m/s. Eventually, bike B passes bike A. Why? Well obviously, bike B was traveling faster than bike A. With respect to vectors, we see that they are different because, although the direction they are traveling is the same, the magnitude of the bikes is different.
Note: magnitude is just a measurement such a distance, speed, acceleration, etc. Do not be confused by the notation. 

I hope this helped! 

A vector is a physical quantity in physics that has both magnitude (size) and direction.
Examples:
Velocity, Force, Acceleration, Work, Torque.

Note: Scalar quantities are just about size. Examples: Speed, Energy, Power, Distance
Cheers.