Given below in Column $-I$ are the relations between vectors $\vec a \,$ $\vec b \,$ and $\vec c \,$ and in Column $-II$ are the orientations of $\vec a$, $\vec b$ and $\vec c$ in the $XY-$ plane. Match the relation in Column $-I$ to correct orientations in Column $-II$.

Column $-I$	Column $-II$
$(a)$ $\vec a \, + \,\,\vec b \, = \,\,\vec c $	$(i)$ Image
$(b)$ $\vec a \, - \,\,\vec c \, = \,\,\vec b$	$(ii)$ Image
$(c)$ $\vec b \, - \,\,\vec a \, = \,\,\vec c $	$(iii)$ Image
$(d)$ $\vec a \, + \,\,\vec b \, + \,\,\vec c =0$	$(iv)$ Image

Consider the below given diagram in which vectors $A$ and $B$ are connected by head and tail.

Resultant vector $\overrightarrow{\mathrm{C}}=\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}$

$(a)$ from $(iv)$ it is clear that $\mathrm{c}=\mathrm{a}+\mathrm{b}$

$(iv)$ matches with $(a)$

$(b)$ from (iii) $\mathrm{c}+\mathrm{b}=\mathrm{a}$

$ \Rightarrow \mathrm{a}-\mathrm{c}=\mathrm{b}$

$(iii)$ matches with $(b)$

$(c)$ from $(i)$ $\mathrm{b}=\mathrm{a}+\mathrm{c} \Rightarrow \mathrm{b}-\mathrm{a}=\mathrm{c}$

$(ii)$ matches with $(d)$

$(d)$ from (ii) $-\mathrm{c}=\mathrm{a}+\mathrm{b} \Rightarrow \mathrm{a}+\mathrm{b}+\mathrm{c}=0$

$(i)$ matches with $(c)$