# Question #1ed59

Feb 27, 2017

Yes. Multiplying a vector by a scalar gives you the another vector with the same direction, and momentum is a vector multiplied by a scalar.

#### Explanation:

Yes.

Momentum is simply mass times velocity, or

$p = m v$

Velocity is a vector (involving direction or route, not considered just as a straight line), while mass is a scalar quantity (it does not matter what direction a mass is in).

A vector with direction multiplied by a scalar without direction will have the final direction simply of the vector, as the scalar does not affect the direction at all.

You could think of the algebraic analogy

$4 \cdot 3 x = 12 x$,

where the quantity in front changes, but the actual direction, say it is $x$, stays the same. $4$ and $3$ are just numbers you multiply.

Therefore

$\vec{p} = m \vec{v}$