1.
Consider the vectors A=i^+j^k^\vec{A} = \hat{i} + \hat{j} - \hat{k}, B=2i^j^+k^\vec{B} = 2\hat{i} - \hat{j} + \hat{k}, C=15(i^2j^+2k^)\vec{C} = \dfrac{1}{\sqrt{5}}(\hat{i} - 2\hat{j} + 2\hat{k}). What is the value of C(A×B)\vec{C} \cdot (\vec{A} \times \vec{B})?