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JEE Advanced 2020 Paper 1 Mathematics Q16
Mathematics
Problem
In a triangle PQR, let
a
⃗
\vec{a}
a
= Q
R
⃗
\vec{R}
R
,
b
⃗
\vec{b}
b
= R
P
⃗
\vec{P}
P
and
c
⃗
\vec{c}
c
= P
Q
⃗
\vec{Q}
Q
. If |
a
⃗
\vec{a}
a
| = 3, |
b
⃗
\vec{b}
b
| = 4 and [
a
⃗
\vec{a}
a
· (
c
⃗
\vec{c}
c
−
b
⃗
\vec{b}
b
)]/[
c
⃗
\vec{c}
c
· (
a
⃗
\vec{a}
a
−
b
⃗
\vec{b}
b
)] = |
a
⃗
\vec{a}
a
|/(|
a
⃗
\vec{a}
a
| + |
b
⃗
\vec{b}
b
|), then the value of |
a
⃗
\vec{a}
a
×
b
⃗
\vec{b}
b
|² is _____.
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