Let and be three non-zero vectors such that no two of these are collinear

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Let

a, b

and

c

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

a + 2b

is collinear with

c

and

b + 3c

is collinear with

a

(

\lambda

being some non-zero scalar), then

a + 2b + 6c

is equal to (1)

0

(2)

\lambda b

(3)

\lambda c

(4)

\lambda a