Mathematics > vectors-and-linear-programming > Vectors

If $\vec{a} = \hat{i} + 2\hat{j} - \hat{k}$, $\vec{b} = 2\hat{i} + \hat{j} + \hat{k}$ and $\vec{c} = 5\hat{i} - 4\hat{j} + 3\hat{k}$, then find the value of $(\vec{a} + \vec{b}) \cdot \vec{c}$.