Concepts Of Physics MCQ Edition [Volume 1]PhysicsPhysics and Mathematics
For two vectors A and B , the magnitude of their vector product can be
Options
- Aequal to zero
- Bgreater than AB
- Cless than AB
- Dequal to AB
Correct answer
D. equal to AB
Step-by-step solution
The magnitude of the vector product of two vectors A and B is given by | A B | = AB , where is the angle between the vectors. Since the value of lies in the range [0, 1] for [0, ] , we have 0 1 . Multiplying by AB , we get 0 AB AB . Thus, the magnitude of the vector product can be zero (if = 0 or ), less than AB (if 0 It can never be greater than AB .