Given vectors \(\vec{A} = [2, 3]\) and \(\vec{B} = [4, -1]\). Find the result of the vector addition \(\vec{A} + \vec{B}\).
Answer
Similarly, the second component (y-component) of \(\vec{C}\) is the sum of the second components of \(\vec{A}\) and \(\vec{B}\), which is \(3 + (-1) = 2\).
Step 1 ：The vector addition is done component-wise. That is, the resultant vector \(\vec{C} = \vec{A} + \vec{B}\) will have its components as the sum of the corresponding components of \(\vec{A}\) and \(\vec{B}\).
Step 2 ：Therefore, the first component (x-component) of \(\vec{C}\) is the sum of the first components of \(\vec{A}\) and \(\vec{B}\), which is \(2 + 4 = 6\).
Step 3 ：Similarly, the second component (y-component) of \(\vec{C}\) is the sum of the second components of \(\vec{A}\) and \(\vec{B}\), which is \(3 + (-1) = 2\).
