Let $a, b, c$ be distinct non-negative numbers. If the vectors $a\hat{i} + a\hat{j} + c\hat{k}$,$\hat{i} + \hat{k}$,and $c\hat{i} + c\hat{j} + b\hat{k}$ lie in a plane,then $c$ is
- AThe arithmetic mean of $a$ and $b$
- BThe geometric mean of $a$ and $b$
- CThe harmonic mean of $a$ and $b$
- DEqual to zero
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