Jee Main
Vector Algebra
JEE Main 2022 (Online) 25th June Evening Shift
INTEGER+4 / -12022
ধরি \(\vec b = \hat i + \hat j + \lambda \hat k,\lambda \in R\) । যদি \({\vec a}\) এমন একটি ভেক্টর হয় যাতে
\(\vec a \times \vec b = 13\hat i - \hat j - 4\hat k\) এবং \(\vec a{\mkern 1mu} \cdot \,\vec b + 21 = 0\) হয়, তবে
\(\left( {\vec b - \vec a} \right).{\mkern 1mu} \left( {\hat k - \hat j} \right) + \left( {\vec b + \vec a} \right).{\mkern 1mu} \left( {\hat i - \hat k} \right)\)= _________ ।
\(\vec a \times \vec b = 13\hat i - \hat j - 4\hat k\) এবং \(\vec a{\mkern 1mu} \cdot \,\vec b + 21 = 0\) হয়, তবে
\(\left( {\vec b - \vec a} \right).{\mkern 1mu} \left( {\hat k - \hat j} \right) + \left( {\vec b + \vec a} \right).{\mkern 1mu} \left( {\hat i - \hat k} \right)\)= _________ ।