A robot end effector with three translational and three rotational degrees of freedom has how many DOFs in total?

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Multiple Choice

A robot end effector with three translational and three rotational degrees of freedom has how many DOFs in total?

Explanation:
In 3D space, a rigid body has six independent motions: three translations along x, y, and z, and three rotations about those axes (roll, pitch, yaw). An end effector that can translate in three directions and orient itself with three rotations can realize all of these motions, giving a total of six degrees of freedom. If you had fewer than six, you’d be missing a translation or a rotation; having more than six would go beyond what a single rigid body in 3D can independently achieve.

In 3D space, a rigid body has six independent motions: three translations along x, y, and z, and three rotations about those axes (roll, pitch, yaw). An end effector that can translate in three directions and orient itself with three rotations can realize all of these motions, giving a total of six degrees of freedom. If you had fewer than six, you’d be missing a translation or a rotation; having more than six would go beyond what a single rigid body in 3D can independently achieve.

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