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JEEMAIN-2014
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Let $ \alpha, \beta, \gamma$ be distinct real numbers points with position vector $\alpha\overrightarrow{i}+\beta \overrightarrow {i} + \gamma \overrightarrow {k},\beta\overrightarrow{i}+\beta \overrightarrow {i} + \gamma \overrightarrow {k},r\overrightarrow{j}+\alpha \overrightarrow {j} + \beta\overrightarrow {k}$,
$\begin{array}{1 1} are\;collinear \\ form\;an\;equilateral\;tringle \\ form\;a\;scalene \;triangle \\ form\;a\;right\;angle\;triangle \end{array} $
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