Subjective Type

How force is a vector quantity ?

Solution

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 $$ \dfrac{m}{s^2} $$) is directed downwards.

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

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