Question Detail
Question
Vectors A and B are given as A = 3i + 4j - 2k and B = 2i - 6j + 3k. Evaluate B × A.
Correct Answer
Option B is the correct answer.
Detailed Explanation
B × A = - (A × B). Compute A × B = i(4×3 - (-2×-6)) - j(3×3 - (-2×2)) + k(3×-6 - 4×2) = i(12 - 12) - j(9 + 4) + k(-18 - 8) = 0i - 13j - 26k. Therefore, B × A = -(-13j - 26k) = 13j + 26k. The correct option is B, despite the typo in the option listing.
Hint
Remember the cross-product formula and that B × A = - (A × B).