Mixed Vectors & CalculusMediumQuestion 5160
Question
If A × B = 0 and A·B = 0, then:
- AA and B are parallel
- BA and B are perpendicular
- CAt least one of A or B is a zero vectorCorrect
- DA = B
Correct answer
At least one of A or B is a zero vector
Explanation
A×B = 0 means parallel or zero; A·B = 0 means perpendicular or zero. Both simultaneously require at least one to be a zero vector.