Practicing Success
Practicing Success
CUET Preparation Today
If \(\hat{i},\hat{j}\) and \(\hat{k}\) are unit vectors then the value of \(\hat{i}\cdot \left(\hat{j}\times \hat{k}\right)+\hat{j}\cdot \left(\hat{i}\times \hat{k}\right)+\hat{k}\cdot \left(\hat{i}\times \hat{j}\right)\) is |
\(0\) \(-1\) \(1\) \(3\) |
\(1\) |
| \(\begin{aligned}\hat{i}\cdot (\hat{j}\times \hat{k})+\hat{j}\cdot (\hat{i}\times \hat{k})+\hat{k}\cdot (\hat{i}\times \hat{j})&=\hat{i}\cdot \hat{i}+\hat{j}\cdot (-\hat{j})+\hat{k}\cdot \hat{k}\\ &=\hat{i}\cdot \hat{i}-\hat{j}\cdot \hat{j}+\hat{k}\cdot \hat{k}\\ &=1-1+1\\ &=1\end{aligned}\) |
