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
Hey Empress💞, good to see you again. Step 1: Substitute the given vectors p and q into the equation. The given equation is (1)/(2)p - q + r = 0 \\ 0 . Substitute p = 2 \\ -2 and q = 3 \\ 4 : (1)/(2) 2 \\ -2 - 3 \\ 4 + r = 0 \\ 0 Step 2: Perform the scalar multiplication. (1)/(2) × 2 \\ (1)/(2) × (-2) - 3 \\ 4 + r = 0 \\ 0 1 \\ -1 - 3 \\ 4 + r = 0 \\ 0 Step 3: Perform the vector subtraction. 1 - 3 \\ -1 - 4 + r = 0 \\ 0 -2 \\ -5 + r = 0 \\ 0 Step 4: Isolate vector r. Subtract -2 \\ -5 from both sides: r = 0 \\ 0 - -2 \\ -5 r = 0 - (-2) \\ 0 - (-5) r = 2 \\ 5 The value of r is: r = 2 \\ 5 Send me the next one 📸