Can vector of magnitude zero have non zero components ?

A vector of magnitude zero cannot have non zero components. Magnitude of a vector is
If $\overline{\mathrm{a}}={\mathrm{a}}_{\mathrm{x}}\hat{\mathrm{i}}+{\mathrm{a}}_{\mathrm{y}}\hat{\mathrm{j}}+{\mathrm{a}}_{\mathrm{z}}\hat{\mathrm{k}}$ then its magnitude is $\mathrm{a}=\sqrt{{\mathrm{a}}_{\mathrm{x}}^2+{\mathrm{a}}_{\mathrm{y}}^2+{\mathrm{a}}_{\mathrm{z}}^2}$.
Here a = 0 only when ${\mathrm{a}}_{\mathrm{x}}=0,{\mathrm{a}}_{\mathrm{y}}=0,{\mathrm{a}}_{\mathrm{z}}=0$