Problem - Young Physicist

You're given $n$ force vectors in 3D space. Each force has three components: $x$, $y$, and $z$. A system is in equilibrium when the sum of all forces equals zero in all three directions.

Your task: determine if the forces balance out. If the sum of all $x$ components is zero, AND all $y$ components sum to zero, AND all $z$ components sum to zero, output YES. Otherwise, output NO.

Before reading further, think: how would you model a 3D vector in code? What data does each vector need? How do you add vectors together?