If $a, b, c$ are distinct positive numbers and vectors $a \hat{\imath} + a \hat{\jmath} + c \hat{k}$,$\hat{\imath} + \hat{k}$,and $c \hat{\imath} + c \hat{\jmath} + b \hat{k}$ lie in a plane,then
- A$c$ is $A$.$M$. of $a$ and $b$
- B$c^2 = ab$
- C$c$ is $H$.$M$. of $a$ and $b$
- D$c$ is $G$.$M$. of $a$ and $b$
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