Physics - Vectors Question with Solution | TestHub

Consider the vectors $\overrightarrow{\mathrm{A}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}-\hat{\mathrm{k}},\overrightarrow{\mathrm{B}}=2\hat{\mathrm{i}}-\hat{\mathrm{j}}+\hat{\mathrm{k}},\overrightarrow{\mathrm{C}}=\frac{1}{\sqrt{5}}(\hat{\mathrm{i}}-2\hat{\mathrm{j}}+2\hat{\mathrm{k}})$. What is the value of $\overrightarrow{\mathrm{C}}.(\overrightarrow{\mathrm{A}}\times \overrightarrow{\mathrm{B}})?$