Let $\overrightarrow a ,\overrightarrow b $ and $\overrightarrow c $ be three non-zero vectors such that no two of these are collinear. If the vector $\overrightarrow a + 2\overrightarrow b $ is collinear with $\overrightarrow c $ and $\overrightarrow b + 3\overrightarrow c $ is collinear with $\overrightarrow a $ ($\lambda $ being some non-zero scalar) then $\overrightarrow a + 2\overrightarrow b + 6\overrightarrow c $ equals to :
$\overrightarrow{0}$
$\lambda \overrightarrow b $
$\lambda \overrightarrow c $
$\lambda \overrightarrow a $
Solution
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