jee-main 2024 Q79

jee-main · India · session1_29jan_shift2 Vectors 3D & Lines Vector Algebra and Triple Product Computation
Let $\mathrm { P } ( 3,2,3 ) , \mathrm { Q } ( 4,6,2 )$ and $\mathrm { R } ( 7,3,2 )$ be the vertices of $\triangle \mathrm { PQR }$. Then, the angle $\angle \mathrm { QPR }$ is
(1) $\frac { \pi } { 6 }$
(2) $\cos ^ { - 1 } \left( \frac { 7 } { 18 } \right)$
(3) $\cos ^ { - 1 } \left( \frac { 1 } { 18 } \right)$
(4) $\frac { \pi } { 3 }$
Let $\mathrm { P } ( 3,2,3 ) , \mathrm { Q } ( 4,6,2 )$ and $\mathrm { R } ( 7,3,2 )$ be the vertices of $\triangle \mathrm { PQR }$. Then, the angle $\angle \mathrm { QPR }$ is\\
(1) $\frac { \pi } { 6 }$\\
(2) $\cos ^ { - 1 } \left( \frac { 7 } { 18 } \right)$\\
(3) $\cos ^ { - 1 } \left( \frac { 1 } { 18 } \right)$\\
(4) $\frac { \pi } { 3 }$