Three lines through origin having direction ratios (1,a,a2), (1,b,b2) – InterviewSolution

1.	Three lines through origin having direction ratios (1,a,a2), (1,b,b2) and (1,c,c2) are non- coplanar. But the lines with direction ratios (a,a2,1+a3), (b,b2,1+b3) and (c,c2,1+c3) are coplanar. Then the value of abc is
Answer» Three lines through origin having direction ratios $(1, a, a^{2}),$ $(1, b, b^{2})$ and $(1, c, c^{2})$ are non- coplanar. But the lines with direction ratios $(a, a^{2}, 1 + a^{3}),$ $(b, b^{2}, 1 + b^{3})$ and $(c, c^{2}, 1 + c^{3})$ are coplanar. Then the value of $a b c$ is

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