To determine the correct magnitude using vectors, the discussion focuses on calculating the component of the astronaut's velocity vector that is parallel to the vector pointing from the astronaut to the airlock. The key formula mentioned is |\overline{v}| cos φ, which relates the magnitudes of the vectors and their dot product. The user outlines their steps, including calculating the vector U from Rg and Ra, performing the dot product with the velocity vector, and attempting to find the angle using cosine. However, they express confusion over their final calculations, indicating a potential error in their approach. Clarification on the correct method to find the magnitude and angle is sought to resolve the discrepancies.
