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Mathematics
Mathematics
Problem
Let
a
,
b
a, b
a
,
b
and
c
c
c
be three non-zero vectors such that no two of these are collinear. If the vector
a
+
2
b
a + 2b
a
+
2
b
is collinear with
c
c
c
and
b
+
3
c
b + 3c
b
+
3
c
is collinear with
a
a
a
(
λ
\lambda
λ
being some non-zero scalar), then
a
+
2
b
+
6
c
a + 2b + 6c
a
+
2
b
+
6
c
is equal to a.
0
0
0
b.
λ
b
\lambda b
λb
c.
λ
c
\lambda c
λ
c
d.
λ
a
\lambda a
λa
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