Question Detail
Question
If A = 2i + 3j, B = 3i + 5j, and C = 4i - 6j, find A(B·C).
Correct Answer
Option A is the correct answer.
Detailed Explanation
First compute the dot product: B·C = (3×4) + (5×-6) = 12 − 30 = −18. Then multiply vector A by this scalar: A(B·C) = −18(2i + 3j) = −36i − 54j.
Hint
Dot product gives a scalar, then multiply the vector by that scalar.