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
Welcome back alfredaryee26 — been a while! Let's pick up where you left off. Step 1: Write down the given vector equation. We are given the vectors R = -4 \\ 9 , U = x \\ y , and their sum U + R = -6 \\ 13 . Step 2: Substitute the expressions for U and R into the sum equation. x \\ y + -4 \\ 9 = -6 \\ 13 Step 3: Perform the vector addition on the left side. x + (-4) \\ y + 9 = -6 \\ 13 x - 4 \\ y + 9 = -6 \\ 13 Step 4: Equate the corresponding components to form two separate equations. For the x-component: x - 4 = -6 For the y-component: y + 9 = 13 Step 5: Solve each equation for x and y. For x: x - 4 = -6 x = -6 + 4 x = -2 For y: y + 9 = 13 y = 13 - 9 y = 4 Step 6: State the components of vector U. The components of U are x = -2 and y = 4. So, U = -2 \\ 4 . The component of U is -2 \\ 4 . Send me the next one 📸