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JEE Advanced 2012 Paper 1 Mathematics Q19
Mathematics
Problem
If
a
⃗
\vec a
a
,
b
⃗
\vec b
b
and
c
⃗
\vec c
c
are unit vectors satisfying
∣
a
⃗
−
b
⃗
∣
2
+
∣
b
⃗
−
c
⃗
∣
2
+
∣
c
⃗
−
a
⃗
∣
2
=
9
|\vec a-\vec b|^2+|\vec b-\vec c|^2+|\vec c-\vec a|^2=9
∣
a
−
b
∣
2
+
∣
b
−
c
∣
2
+
∣
c
−
a
∣
2
=
9
, then
∣
2
a
⃗
+
5
b
⃗
+
5
c
⃗
∣
|2\vec a+5\vec b+5\vec c|
∣2
a
+
5
b
+
5
c
∣
is
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