If the vectors \[\alpha \hat{i}+\alpha \hat{j}+\gamma \hat{k},\text{ }\hat{i}+\hat{k}\] and \[\gamma \hat{i}+\gamma \hat{j}+\beta \hat{k}\] lie on a plane, where \[\alpha ,\beta \] and \[\gamma \] are distinct non-negative numbers, then \[\gamma \] is

• A. Arithmetic mean of \[\alpha \] and \[\beta \]
• B. Geometric mean of \[\alpha \] and \[\beta \]
• C. Harmonic mean of \[\alpha \] and \[\beta \]
• D. None of the above