Problem
Given the vectors \(\vec{a} = 3\hat{i} - 2\hat{j} + 4\hat{k}\) and \(\vec{b} = -\hat{i} + 2\hat{j} + 2\hat{k}\), find the result of the vector addition \(\vec{a} + \vec{b}\).
Solution
Step 1 ：First, add the \(i\) components of the vectors: \(3 - 1 = 2\).
Step 2 ：Then, add the \(j\) components of the vectors: \(-2 + 2 = 0\).
Step 3 ：Finally, add the \(k\) components of the vectors: \(4 + 2 = 6\).
