Will three vectors not lying on one plane ever add up to give a null vector?

Find the magnitude of $\overrightarrow{R}$ given by $\overrightarrow{\mathrm{R}}=3\hat{\mathrm{i}}+\sqrt{11}\hat{\mathrm{j}}+4\hat{\mathrm{k}}$.

Which of the following has the maximum inclination with $\mathrm{X}$ -axis and what is its value?

(a) $3\hat{i}+4\hat{j}$

(b) $5\hat{i}+3\hat{j}$

(c) $\mathit{10}\hat{\mathit{i}}\mathit{+}\mathit{12}\hat{\mathit{j}}$