I have more than two vectors (these are 2D vectors) and I want to calculate the mean vector. What is the correct way to do it? All my vectors share their origins at (0,0).
Not sure about this. Let's say we have 3 equally-spaced vectors all of equal length V. They are at 10 deg, 40 deg, 70 deg to the x-axis. Sum the x components and then the y components, then divide each by 3. Then find the resultant. Resultant magnitude is 0.91V, resultant direction is 40 deg. Intuitively, the resultant should be V. If we sum the magnitudes of the vectors and the directions and then divide by 3 we get the correct answer.