Like linear velocity, is angular velocity a vector quantity? If so, then how can we determine its directon?

What kind of vector is angular velocity?

Calculate the angular velocity of earth about its own axis.

Express in diagram, angular velocity, angular acceleration, linear velocity and linear acceleration as vector quantity.

How the linear velocity v of an electron in the Bohr orbit is related to its quantum number n ?

If the moment of inertia of a body rotating about an axis is increased, state whether its angular velocity increases or decreases when no external torque acts on the body.

A particle of mass m moves in a circular path of radius r in a horizontal plane with uniform angular velocity vec(omega) about the z- aixs. Write down the position vector of the particle at any instant and hence derive expressions for velocity and acceleration of the particle.

A proton is accelerated to a velocity of one tenth times that of the velocity of light. If the uncertainty in the determination of its velocity be +-0.5% , calculate the uncertainty in locating its position. [mass of proton =1.675xx10^(-27)kg ].