Yes.

Vector addition is commutative, just like addition of real numbers.

Commutative Property:a+b=b+a

If you start from point P
you end up at the same spot no matter which
displacement (**a** or **b**) you take first.

The head-to-tail rule yields
vector **c** for both **a** + **b** and **b** + **a**.

Does the commutative property hold in all dimensions?