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Vector Algebra question

2019 · 10 Jan · Shift 1 · Q27

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2019 · 10 Jan · Shift 1 · Q27

Vector Algebra question

2019 · 10 Jan · Shift 1 · Q27

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow a = 2\widehat i + {\lambda _1}\widehat j + 3\widehat k,\,\,\overrightarrow b = 4\widehat i + \left( {3 - {\lambda _2}} \right)\widehat j + 6\widehat k,

and

\overrightarrow c = 3\widehat i + 6\widehat j + \left( {{\lambda _3} - 1} \right)\widehat k

be three vectors such that

\overrightarrow b = 2\overrightarrow a

and

\overrightarrow a

is perpendicular to

\overrightarrow c

. Then a possible value of

\left( {{\lambda _1},{\lambda _2},{\lambda _3}} \right)

is :

A
(1, 5, 1)
B
(1, 3, 1)
C
$\left( { - {1 \over 2},4,0} \right)$
D
$\left( {{1 \over 2},4, - 2} \right)$

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