Three particles P, Q and R are moving along the vectors A = i + j, B = j + k and C = - i + j respectively. They strike on a point and start to move in different directions. Now particle P is moving normal to the plane which contains vector A and B. Similarly particle Q is moving normal to the plane which contains vector A and C. The angle between the direction of motion of P and Q is cos ⁻¹(1/(x)). Then the value of x is _ _ _ _ _ _ _ _.

Kinematics: JEE Main 2021 Physics question

JEE Main 2021 · 22 Jul, Evening shift · Q74

JEE Main 202122 Jul, Evening shiftPhysicsHardKinematics177× since 2002

Three particles P, Q and R are moving along the vectors

\overrightarrow A = \widehat i + \widehat j

\overrightarrow B = \widehat j + \widehat k

and

\overrightarrow C = - \widehat i + \widehat j

respectively. They strike on a point and start to move in different directions. Now particle P is moving normal to the plane which contains vector

\overrightarrow A

and

\overrightarrow B

. Similarly particle Q is moving normal to the plane which contains vector

\overrightarrow A

and

\overrightarrow C

. The angle between the direction of motion of P and Q is

{\cos ^{ - 1}}\left( {{1 \over {\sqrt x }}} \right)

. Then the value of x is _______________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 Kinematics Question with Answer (22 Jul Evening shift, Q74) | JEE Arc