# Is the impulse a vector quantity?

May 1, 2014

Yes, impulse is a vector quantity.

$J = {F}_{a v g} \cdot \Delta t$
$J = \Delta p$
$J = {p}_{2} - {p}_{1}$

($J$ is impulse, $p$ is momentum, and $t$ is time)

In the first equation, the average force is a vector quantity, which means that impulse must also be a vector quantity because a scalar times a vector is always a vector.

The second and third equations describe impulse in terms of momentum. Momentum is a vector since it is the product of velocity and mass, therefore impulse must be a vector quantity because the difference of two vectors is still a vector.