If P = 3 i + 3 j + 2 k and Q = 4 i + 3 j + 2.5 k then, the unit vector in the direction of P × Q is 1/x(3 i + j - 2 3 k). The value of x is _ _ _ _ _.

Kinematics: JEE Main 2023 Physics question

JEE Main 2023 · 25 Jan, Morning shift · Q68

JEE Main 202325 Jan, Morning shiftPhysicsHardKinematics177× since 2002

\overrightarrow P = 3\widehat i + \sqrt 3 \widehat j + 2\widehat k

and

\overrightarrow Q = 4\widehat i + \sqrt 3 \widehat j + 2.5\widehat k

then, the unit vector in the direction of

\overrightarrow P \times \overrightarrow Q

{1 \over x}\left( {\sqrt 3 \widehat i + \widehat j - 2\sqrt 3 \widehat k} \right)

. The value of

x

is _________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 Kinematics Question with Answer (25 Jan Morning shift, Q68) | JEE Arc