The ratio of maximum and minimum magnitudes of the resultant of two vector $\vec a$ and $\vec b$ is $3 : 1$. Now $| \vec a |$  is equal to

  • A

    $| \vec b |$

  • B

    $2| \vec b |$

  • C

    $3| \vec b |$

  • D

    $4| \vec b |$

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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