Explanation:

The statement "The moment axis is in the direction parallel to the plane of the force and the distance" is false.

Understanding Moments:
In mechanics, a moment is a turning effect produced by a force acting on an object. It is also known as torque. The moment of a force about a point is equal to the force multiplied by the perpendicular distance from the point to the line of action of the force.

Moment Axis and Direction:
The moment axis is an imaginary line around which the object rotates when a moment is applied. The direction of the moment axis is perpendicular to the plane of the force and the distance. This means that the moment axis is perpendicular to both the direction of the force and the line connecting the point of application of the force to the axis of rotation.

False Statement:
The given statement states that the moment axis is in the direction parallel to the plane of the force and the distance. This is incorrect because the moment axis is always perpendicular to the plane of the force and the distance.

Correct Statement:
The correct statement should be "The moment axis is perpendicular to the plane of the force and the distance."

Visual Representation:
To better understand this concept, consider the following example:

Imagine a door being opened by applying a force at the doorknob. The moment axis in this case is the hinge of the door. The force is applied in a specific direction, and the distance is the perpendicular distance from the hinge to the line of action of the force. The moment axis, which is the hinge, is perpendicular to the plane of the force and the distance.

In Conclusion:
In summary, the statement that the moment axis is in the direction parallel to the plane of the force and the distance is false. The moment axis is always perpendicular to the plane of the force and the distance. Understanding this concept is crucial in analyzing rotational motion and calculating moments in mechanical systems.