If | array lll a & a^ 2 & 1+a^ 3 b & b^ 2 & 1+b^ 3 c & c^ 2 & 1+c^ 3 array |=0 and…
Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry
If \[\left|\begin{array}{lll}
a & a^{2} & 1+a^{3} \\
b & b^{2} & 1+b^{3} \\
c & c^{2} & 1+c^{3}
\end{array}\right|=0\] and vectors \(\left(1, a, a^{2}\right),\left(1, b, b^{2}\right)\) and \(\left(1, \mathrm{c}, \mathrm{c}^{2}\right)\) are non–coplanar, then the product abc equals
- 2
- –1
- 1
- 0
Answer
(B) –1
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