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# If $m_1,m_2,m_3$ and $m_4$ are respectively the magnitudes of the vectors $\overrightarrow{a_1}=2 \overrightarrow{i}-\overrightarrow{j}+\overrightarrow{k},\;\;\overrightarrow{a_2}=3 \overrightarrow{i}-4\overrightarrow{j}-4\overrightarrow{k},\;\;\overrightarrow{a_3}=\overrightarrow{i}+\overrightarrow{j}-\overrightarrow{k}$ and $\overrightarrow{a_4}=-\overrightarrow{i}+3 \overrightarrow{j}+\overrightarrow{k}$ then the correct order of $m_1,m_2,m_3,m_4$ is :

$\begin {array} {1 1} (1)\;m_3 < m_1 < m_4 < m_2 & \quad (2)\;m_3 < m_1 < m_2 < m_4 \\ (3)\;m_3 < m_4 < m_1 < m_2 & \quad (4)\;m_3 < m_4 < m_2 < m_1 \end{array}$

$(1)\;m_3 < m_1 < m_4 < m_2$
edited Jan 2, 2014 by meena.p