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Vector Algebra question

2019 · 11 Jan · Shift 1 · Q30

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2019 · 11 Jan · Shift 1 · Q30

Vector Algebra question

2019 · 11 Jan · Shift 1 · Q30

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow a = \widehat i + 2\widehat j + 4\widehat k,\overrightarrow b = \widehat i + \lambda \widehat j + 4\widehat k

and

\overrightarrow c = 2\widehat i + 4\widehat j + \left( {{\lambda ^2} - 1} \right)\widehat k

be coplanar vectors. Then the non-zero vector

\overrightarrow a \times \overrightarrow c

is :

A
$- 10\widehat i - 5\widehat j$
B
$- 10\widehat i + 5\widehat j$
C
$- 14\widehat i + 5\widehat j$
D
$- 14\widehat i - 5\widehat j$

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