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Vector Algebra question

2003 · Shift 0 · Q96

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2003 · Shift 0 · Q96

Vector Algebra question

2003 · Shift 0 · Q96

JEE MainMathematicsVector AlgebraMCQ+4 / −1

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

\left( {1,a,{a^2}} \right),\,\,\left( {1,b,{b^2}} \right)

and

\left( {1,c,{c^2}} \right)\,

are non-coplanar, then the product

abc

equals :

A
$0$
B
$2$
C
$-1$
D
$1$

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