The discussion revolves around interpreting a vector calculus problem involving two distinct points A and B in Euclidean space and finding the surface represented by points M that satisfy the equation \(\vec{AM} \cdot \vec{MB} = 0\). Participants express confusion about the meaning of M and the definitions of the vectors involved.
The discussion is ongoing, with participants providing guidance on simplifying notation and expressing the dot product. Some participants are exploring the potential geometric interpretations of the resulting equations, while others are questioning the definitions and assumptions made in the problem.
There is a noted lack of clarity regarding the definitions of the vectors and points involved, as well as the notation used in the problem statement. Participants are also navigating the constraints of their coursework and prior knowledge in vector calculus.
petertheta said:I get it. so I could descibe the surface as a sphere with a centre... and radius... which I deduce algebraically?