This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Write down the given vectors. The two vectors are: a = 4.0i + 3.0j b = -13.0i + 7.0j Step 2: Add the corresponding components of the vectors. To find the sum of two vectors, add their i components together and their j components together. Let the sum be S = a + b. S = (4.0i + 3.0j) + (-13.0i + 7.0j) Group the i components and j components: S = (4.0 - 13.0)i + (3.0 + 7.0)j Step 3: Perform the addition for each component. For the i component: 4.0 - 13.0 = -9.0 For the j component: 3.0 + 7.0 = 10.0 Step 4: Write the resultant sum vector. S = -9.0i + 10.0j The correct option is B) -9.0i + 10.0j. 3 done, 2 left today. You're making progress.