Displacement (which is net distance [magnitude] traveled plus direction) is the
prototypical example of a vector:
Displacement
Displacement is a vector
quantity. It refers to how
far out of place an object
is from its original
position.When we say that vectors obey the commutative law of addition, we mean that if
we have two vectors of the same type, for example, another displacement,
then A + B must equal B + A. The vector sum A + B means the vector A following
by B, while the vector sum B + A means the vector B followed by A. That these
two sums are indeed identical is shown in the following figure: