hati × (hati × hatj) = ?

 hati × (hati × hatj) = hati × hatk = - hatj

প্রশ্ন: \( \hat{i} \times (\hat{i} \times \hat{j}) = ? \)

সমাধান:

আমরা জানি, \( \hat{i} \times \hat{j} = \hat{k} \). 🤓

সুতরাং, \( \hat{i} \times (\hat{i} \times \hat{j}) = \hat{i} \times \hat{k} \). 🤔

আবার, \( \hat{i} \times \hat{k} = -\hat{j} \). 😮

অতএব, \( \hat{i} \times (\hat{i} \times \hat{j}) = -\hat{j} \). 🎉

উত্তর: \( -\hat{j} \) ✅