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JEE Advanced 2015 Paper 1 Mathematics Q18
Mathematics
Problem
Let
△
P
Q
R
\triangle PQR
△
P
QR
be a triangle. Let
a
⃗
=
Q
R
→
\vec a=\overrightarrow{QR}
a
=
QR
,
b
⃗
=
R
P
→
\vec b=\overrightarrow{RP}
b
=
R
P
and
c
⃗
=
P
Q
→
\vec c=\overrightarrow{PQ}
c
=
P
Q
. If
∣
a
⃗
∣
=
12
|\vec a|=12
∣
a
∣
=
12
,
∣
b
⃗
∣
=
4
3
|\vec b|=4\sqrt3
∣
b
∣
=
4
3
and
b
⃗
⋅
c
⃗
=
24
\vec b\cdot\vec c=24
b
⋅
c
=
24
, then which of the following is (are) true?
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