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: Identify the given vectors. We are given the vectors: a = 3 \\ 4 b = 6 \\ 5 c = 6 \\ -4 Step 2: Calculate 2b by multiplying each component of vector b by 2. 2b = 2 × 6 \\ 5 = 2 × 6 \\ 2 × 5 = 12 \\ 10 Step 3: Substitute the vectors into the expression a - 2b + c. a - 2b + c = 3 \\ 4 - 12 \\ 10 + 6 \\ -4 Step 4: Perform the subtraction and addition component-wise. First, subtract 2b from a: 3 \\ 4 - 12 \\ 10 = 3 - 12 \\ 4 - 10 = -9 \\ -6 Next, add c to the result: -9 \\ -6 + 6 \\ -4 = -9 + 6 \\ -6 + (-4) = -3 \\ -10 The final result is: -3 \\ -10 That's 2 down. 3 left today — send the next one.