আমরা জানি, \( \hat{i} \), \( \hat{j} \), এবং \( \hat{k} \) হল তিনটি লম্ব ভেক্টর এবং \( \hat{i} \times \hat{j} = \hat{k} \), \( \hat{j} \times \hat{k} = \hat{i} \), এবং \( \hat{k} \times \hat{i} = \hat{j} \) ।

তাহলে,

1. \( \hat{i} \cdot (\hat{j} \times \hat{k}) = \hat{i} \cdot \hat{i} = 1 \)
2. \( \hat{j} \cdot (\hat{i} \times \hat{k}) = \hat{j} \cdot (-\hat{j}) = -1 \)
3. \( \hat{k} \cdot (\hat{i} \times \hat{j}) = \hat{k} \cdot \hat{k} = 1 \)

সুতরাং, \( \hat{i} \cdot (\hat{j} \times \hat{k}) + \hat{j} \cdot (\hat{i} \times \hat{k}) + \hat{k} \cdot (\hat{i} \times \hat{j}) = 1 + (-1) + 1 = 1 \)