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Quick check from College Physics, 10.7 Gyroscopic Effects: Vector Aspects of Angular Momentum
Rotational kinetic energy is associated with angular momentum? Does that mean that rotational kinetic energy is a vector?
Answer it in your own words before you look.
No, energy is always a scalar whether motion is involved or not. No form of energy has a direction in space and you can see that rotational kinetic energy does not depend on the direction of motion just as linear kinetic energy is independent of the direction of motion.
How did it go?