Solve this:

Q. Which one of the following vectors of magnitude $\sqrt{51}$ makes equal angles with three vectors 
                   $\overrightarrow{a} =\frac{\hat{i} –2\hat{j} + 2\hat{k}}{3}, \overrightarrow{b} =\frac{-4\hat{i} -3\hat{k}}{5} and \overrightarrow{c} =\hat{j}$?
        $$\begin{gathered} \left(\mathrm{a}\right) 5\hat{\mathrm{i}} –\hat{\mathrm{j}} –5 \hat{\mathrm{k}} \left(\mathrm{b}\right) 5\hat{\mathrm{i}} +\hat{\mathrm{j}} +5 \hat{\mathrm{k}} \\ \left(\mathrm{c}\right) - 5\hat{\mathrm{i}} –\hat{\mathrm{j}} +5 \hat{\mathrm{k}} \left(\mathrm{d}\right) 5\hat{\mathrm{i}} +5 \hat{\mathrm{j}} –5 \hat{\mathrm{k}} \end{gathered}$$