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AIEEE 2004 Math Solved Paper
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© examsnet.com
Question : 60
Total: 68
Let
→
a
,
→
b
and
→
c
be three non-zero vectors such that no two of these are collinear. If the vector
→
a
+
2
→
b
is collinear with
→
c
and
→
b
+
3
→
c
is collinear with
→
a
(
λ
being some non-zero scalar) then
→
a
+
2
→
b
+
→
6
c
equals
0
λ
→
b
λ
→
c
λ
→
a
Validate
Solution:
Let
→
a
+
2
→
b
=
→
t
c
and
→
b
+
3
→
c
=
→
s
a
, where
t
and
s
are scalars.
Adding, we get
→
a
+
3
→
b
+
3
→
c
=
→
t
c
+
→
s
a
⇒
→
a
+
2
→
b
+
→
6
c
=
→
t
c
+
→
s
a
−
→
b
+
3
→
c
=
→
t
c
+
(
→
b
+
3
→
c
)
−
→
b
+
3
→
c
=
(
t
+
6
)
→
c
[
using
s
→
a
=
→
b
+
3
→
c
]
=
→
λ
c
, where
λ
=
t
+
6
© examsnet.com
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