Halliday, Resnick & Walker — Vectors: Problem 38

38 For the following three vectors, what is $3\vec{C} \cdot (2\vec{A} \times \vec{B})$? \[ \vec{A} = 2.00\hat{i} + 3.00\hat{j} - 4.00\hat{k} \] \[ \vec{B} = -3.00\hat{i} + 4.00\hat{j} + 2.00\hat{k} \] \[ \vec{C} = 7.00\hat{i} - 8.00\hat{j} \]