Question

Show that the order of addition of three vectors does not affect their sum. Show this property by choosing any three vectors $\vec{A}$ , $\vec{B}$ , and $\vec{C}$ , all having different lengths and
directions. Find the sum $\vec{A} + \vec{B} + \vec{C}$ then find their sum when added in a different order and show the result is the same. (There are five other orders in which $\vec{A}$ , $\vec{B}$ , and $\vec{C}$ can be added; choose only one.)

Final Answer

please see the solution video.

Addition is commutative! (the video explains that formal term at the end)

Addition is commutative! (the video explains that formal term at the end)

Solution Video