JEE Advance 2025 Paper 1

Let $\vec{w} = \hat{i} + \hat{j} - 2\hat{k}$  , $\vec{u} \times \vec{v} = \vec{w}$  , $\vec{v} \times \vec{w} = \vec{u}$  . Match the quantities: (P) $|\vec{v}|^2$   (Q) If $\alpha = \sqrt{3}$  , $\gamma^2$   (R) If $\alpha = \sqrt{3}$  , $(\beta + \gamma)^2$   (S) If $\alpha = \sqrt{2}$  , $t+3$  .