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Both systems have measurements for distance, area, volume, and mass or weight.
NO!!! 'measurements' is a plural common noun.
Vector systems are a branch of mathematics that is used to manipulate measurements that have a value as well as a direction. Common examples are velocity, acceleration, force, etc - measurements involving motion. However, some motion-related measurements are not vectors. Distance, speed are not.
One thing that area and perimeter have in common are that they both are measurements of a shape while perimeter is the distance around and area is the measurement of space within the object or space.
The units are incompatible. Cubic measurements are for volume, square measurements are for area.