The correct representation of a vector quantity and its respective unit from the options provided is:
c - force - Newton
Force is a vector quantity because it has both magnitude and direction, and its unit is the Newton (N).
To clarify the other options:
- a (mass - kilogram) is a scalar quantity.
- b (weight - kilogram) is incorrect because weight is a vector quantity measured in Newtons (weight is the force due to gravity on an object).
- d (speed - meters per second) is incorrect because speed is a scalar quantity; the vector quantity that represents speed with direction is velocity, which is also measured in meters per second (m/s).
So, the only correct option representing a vector quantity and its unit is c.