12th Class
Mathematics
Sample Paper
Maths Olympiad Model Paper-2
question_answer
If\[\left| \begin{matrix} a & {{a}^{2}} & 1+{{a}^{3}} \\ b & {{b}^{2}} & 1+{{b}^{3}} \\ c & {{c}^{2}} & 1+{{c}^{3}} \\ \end{matrix} \right|=0\]and vectors\[(1,a,{{a}^{2}}),\]\[(1,b,{{b}^{2}})\] and \[(1,c,{{c}^{2}})\] are non-coplanar, then the product abc equals