The derived quantity is a quantity which has been derived from 2 or more base quantities.
Example:
Velocity is the rate of change of distance and is written in terms of distance divided by time which are two base quantities.
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Yes, area is a derived quantity.
If a quantity of kilograms is added to another quantity of kilograms, the result is a larger quantity of kilograms.If a quantity of kilograms is multiplied by another quantity of kilograms, the result has no physical significance,which is lucky, because it's not at all clear how you might go about doing that.
A quantity involving direction and magnitude is called physically vector A quantity involving direction and magnitude is called physically vector
Current is a basic quantity, measured in amperes.
Yes, it is a physical quantity (Fundamental)