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Mathematics
Mathematics
Problem
If
a
⃗
\vec{a}
a
and
b
⃗
\vec{b}
b
are non-collinear vectors, then the value of
α
\alpha
α
for which the vectors
u
⃗
=
(
α
−
2
)
a
⃗
+
b
⃗
\vec{u} = (\alpha - 2)\vec{a} + \vec{b}
u
=
(
α
−
2
)
a
+
b
and
v
⃗
=
(
2
+
3
α
)
a
⃗
−
3
b
⃗
\vec{v} = (2 + 3\alpha)\vec{a} - 3\vec{b}
v
=
(
2
+
3
α
)
a
−
3
b
are collinear is :- [JEE-MAINS Online 2013] (1)
−
3
2
-\frac{3}{2}
−
2
3
(2)
3
2
\frac{3}{2}
2
3
(3)
−
2
3
-\frac{2}{3}
−
3
2
(4)
2
3
\frac{2}{3}
3
2
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