Step 1: Identify the components of the vector A. The vector A is given as 4i - 3j + 12k. This means the components are: A_x = 4, A_y = -3, and A_z = 12.
Step 2: Square each of the components. Calculate 4^2, (-3)^2, and 12^2. This gives us: 4^2 = 16, (-3)^2 = 9, and 12^2 = 144.
Step 3: Add the squared values together. Add 16 + 9 + 144 to get 169.
Step 4: Take the square root of the sum. Calculate √169, which equals 13.