The value of \vec{i} \cdot(\vec{j} \times \vec{k})+\vec{j} \cdot(\vec{i} \times \vec{k})+\vec{k} \cdot(\vec{i} \times \vec{j}) is
(A) 1
(B) -1
(C) 2
(D) 3
The value of \vec{i} \cdot(\vec{j} \times \vec{k})+\vec{j} \cdot(\vec{i} \times \vec{k})+\vec{k} \cdot(\vec{i} \times \vec{j}) is
(A) 1
(B) -1
(C) 2
(D) 3

The answer is (A) 1
=i(\hat{\imath})+\hat{\jmath} \cdot(-\hat{\jmath})+\hat{f} \cdot(\hat{k})
=1-1+1
=1