The value of $\frac{3}{2}(\hat{i}.\hat{i})+\frac{1}{2}(\hat{j}.\hat{j})+\frac{|\hat{i}×\hat{i}|}{(\hat{k}.\hat{k})}+\frac{(\hat{k}.\hat{i})}{|\hat{i}×\hat{j}|}$ is :

2

The correct answer is Option (3) → 2

$\frac{3}{2}(\hat{i}.\hat{i})+\frac{1}{2}(\hat{j}.\hat{j})+\frac{|\hat{i}×\hat{i}|}{(\hat{k}.\hat{k})}+\frac{(\hat{k}.\hat{i})}{|\hat{i}×\hat{j}|}$

$=\frac{3}{2}+\frac{1}{2}+0+0=2$