#### Tangential Velocity as a Cross Product

Referring again to Fig.B.4, we can write the tangential velocity vector as a vector cross product of the angular-velocity vector B.4.11) and the position vector :

 (B.17)

To see this, let's first check its direction and then its magnitude. By the right-hand rule, points up out of the page in Fig.B.4. Crossing that with , again by the right-hand rule, produces a tangential velocity vector pointing as shown in the figure. So, the direction is correct. Now, the magnitude: Since and are mutually orthogonal, the angle between them is , so that, by Eq.(B.16),

as desired.

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