Question:
Given that A,B and C are vectors. If A+B=C and that C is perpendicular to A. Further if magnitude of A and C is equal than what is the angle between A and B?
Answer:
Any two vectors lie in the same plane. So, A and B lie in the same plane. Since both the vectors lie in the same plane, (A + B), also lies in the same plane.
Provided A and B are not col linear or parallel, (A × B) will be in the plane perpendicular to the plane containing A, B and (A+B). When A and B are col linear/parallel the angle between them becomes 0 degrees, and the value of the cross product becomes 0, or the null vector. Since the direction of a null vector cannot be determined, the angle between (A+B) and (A × B) cannot be determined.
Not what you are looking for? Go ahead and submit the question, we will get back to you.
