(ĵ + k̂) × k̂ = কত?

Explanation:

Another Explanation (5): \( (\hat{j} + \hat{k}) \times \hat{k} \) নির্ণয় করতে হবে। আমরা জানি, ভেক্টর গুণনের ক্ষেত্রে: * \(\hat{i} \times \hat{i} = 0\) * \(\hat{j} \times \hat{j} = 0\) * \(\hat{k} \times \hat{k} = 0\) * \(\hat{i} \times \hat{j} = \hat{k}\) * \(\hat{j} \times \hat{k} = \hat{i}\) * \(\hat{k} \times \hat{i} = \hat{j}\) এবং বিপরীতক্রমে: * \(\hat{j} \times \hat{i} = -\hat{k}\) * \(\hat{k} \times \hat{j} = -\hat{i}\) * \(\hat{i} \times \hat{k} = -\hat{j}\) এখন, \( (\hat{j} + \hat{k}) \times \hat{k} = (\hat{j} \times \hat{k}) + (\hat{k} \times \hat{k}) \) আমরা জানি, \(\hat{j} \times \hat{k} = \hat{i}\) এবং \(\hat{k} \times \hat{k} = 0\). সুতরাং, \( (\hat{j} + \hat{k}) \times \hat{k} = \hat{i} + 0 = \hat{i} \) 🥳🎉 অতএব, উত্তর: \(\hat{i}\)