Let $a, b$ and $c$ be distinct non-negative numbers. If the vectors $a\widehat i + a\widehat j + c\widehat k,\,\,\widehat i + \widehat k$ and $c\widehat i + c\widehat j + b\widehat k$ lie in a plane, then $c$ is :
the Geometric Mean of $a$ and $b$
the Arithmetic Mean of $a$ and $b$
equal to zero
the Harmonic Mean of $a$ and $b$
Solution
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