Solution:
Solution
$$\displaystyle{V}_{{{O}{M}}}={V}_{{{O}}}-{V}_{{{M}}}={\left(-\hat{{{i}}}-{3}\hat{{{k}}}\right)}$$
$$\displaystyle\therefore{V}_{{{I}{M}}}={\left(-\hat{{{i}}}+{3}\hat{{{k}}}\right)}={V}_{{{I}}}-{V}_{{{M}}}$$
$$\displaystyle{V}_{{{I}}}={\left(-\hat{{{i}}}+{3}\hat{{{k}}}\right)}+{v}_{{{m}}}$$
$$\displaystyle={\left({3}\hat{{{i}}}+{4}\hat{{{j}}}+{11}\hat{{{k}}}\right)}$$