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Understanding math used to determine if vector is …

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WebMay 17, 2015 · 1 Answer. Sorted by: 1. The speed is defined as the norm of the velocity vector. Assuming the r ( t) is the placement, then you'll have to take derivative to get the … WebNote that in a coordinate system with the x-axis pointing right and the y-axis pointing down, we can rotate a vector 90° clockwise as (x,y)' = (-y,x), ergo: A'·B = (x,y)'·(u,v) = (-y,x)·(u,v) = -yu + xv. This number is positive (B is … WebApr 29, 2024 · Suppose we wanted to know if c ( t) = ( − r cos t, r sin t) is clockwise. First, we check at what point we are when t = 0, in this case ( − r, 0). Now we have that c ′ ( t) = ( r sin t, r cos t), so c ′ ( 0) = ( 0, r). So from ( − r, 0) you go "up" because the vector ( 0, r) is a vertical vector that goes "up", and you are clockwise. Share Cite sbahn new york