How to calculate Vx, Vy through Heading velocity and Angular Velocity?

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Casey 2012-3-29

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https://ww2.mathworks.cn/matlabcentral/answers/33813-how-to-calculate-vx-vy-through-heading-velocity-and-angular-velocity

If I have a set of Heading velocity [sqrt(vx^2+vy^2)] and the angular velocity, how do I calculate into Vx and Vy separately. Is it involve with the Euler theory? This calculation is just involve with 2 axises only. Does it require the heading angle?

Thanks.