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
You're on a roll — Step 1: Identify the given vectors. Let the first vector be u and the second vector be v. u = 2i - j - k v = + j + 5k Step 2: Apply the condition for perpendicular vectors. If two vectors are perpendicular, their dot product is zero. u · v = 0 Step 3: Calculate the dot product of u and v. (2)() + (-1)(1) + (-1)(5) = 0 2 - 1 - 5 = 0 2 - 6 = 0 Step 4: Solve for . 2 = 6 = (6)/(2) = 3 Step 5: Compare the result with the given options. The calculated value = 3 matches option (a). The final answer is (a) 3. Got more? Send 'em!