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Vector Algebra question

2004 · Shift 0 · Q115

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2004 · Shift 0 · Q115

Vector Algebra question

2004 · Shift 0 · Q115

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow a ,\overrightarrow b

and

\overrightarrow c

be three non-zero vectors such that no two of these are collinear. If the vector

\overrightarrow a + 2\overrightarrow b

is collinear with

\overrightarrow c

and

\overrightarrow b + 3\overrightarrow c

is collinear with

\overrightarrow a

(

\lambda

being some non-zero scalar) then

\overrightarrow a + 2\overrightarrow b + 6\overrightarrow c

equals to :

A
$\overrightarrow{0}$
B
$\lambda \overrightarrow b$
C
$\lambda \overrightarrow c$
D
$\lambda \overrightarrow a$

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