Question

How force is a vector quantity?

Answer 1

Force, `F=mg`, is a vector quantity because acceleration due to gravity, `g`, is a vector quantity.

Explanation:

`F=mg`

Where `m` is the mass (in kilograms) of the object in question and `g` is acceleration due to gravity. Mass is a scalar quantity; mass has no dependence on direction whatsoever.

`g` is a vector, as acceleration due to gravity (in `m/s^2`) is directed downwards.

Since `g` is a vector, `F` is also a vector, because `mg` is affected by the downward direction of `g.`