If $\vec{a}, \vec{b}$ are non-zero non-parallel vectors and $m\vec{a}+n\vec{b}=\vec{0}$, which of the following is correct?

• a$m\vec{a}=\vec{0}$
• b$m\vec{b}=\vec{0}$
• c$m=n=0$
• d$m=n\neq 0$