10. vector algebra — ગણિત ધોરણ 12 સાયન્સ — Question

$\hat{j} \times \hat{k}=\hat{i}, \hat{i} \times \widehat{k}=-\hat{j}, \hat{i} \times \hat{j}=\widehat{k}$

Therefore,

$\hat{ i } \cdot \hat{ j } \times \widehat{ k })+\hat{ j } \cdot \hat{ i } \times \hat{ k })+\widehat{ k } \cdot(\hat{ i } \times \hat{ j })$

$=\hat{ i. } \hat{ i }+\hat{ j } \cdot(-\hat{ j })+\widehat{ k } \cdot \hat{ k }$

$=1-1+1=1$