JEE MAIN - Mathematics Bengali (2022 - 25th June Evening Shift - No. 20)

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
$$\left( {\vec b - \vec a} \right).{\mkern 1mu} \left( {\hat k - \hat j} \right) + \left( {\vec b + \vec a} \right).{\mkern 1mu} \left( {\hat i - \hat k} \right)$$= _________ ।
Answer
14

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