Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

If A = 2i + 3j, B = 3i + 5j, and C = 4i - 6j, find (A × B) × C.
Options
A -6i - 4j
B 6i - 4j
C -6i + 4j
D 6i + 4j
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

Treat vectors as 3D with zero k-components. A×B = k(2×5 − 3×3) = k. Then (A×B)×C = k×(4i − 6j) = 6i + 4j.

Hint

Compute A×B first, then cross the result with C.

Question Info