Concepts Of Physics MCQ Edition [Volume 1]PhysicsPhysics and Mathematics
Determine the value of A ( A B ) .
Options
- AAB
- B0
- CA^2 B
- D1
Correct answer
B. 0
Step-by-step solution
The cross product A B yields a vector that is perpendicular to both A and B . Let C = A B . Since C is perpendicular to A , the angle between them is 90^ . The dot product A ( A B ) = A C = | A | | C | 90^ = 0 . Alternatively, the expression represents the scalar triple product [ A A B ] , which is zero because two of the vectors are identical.