Final answer:
Deformation refers to the change in shape or size due to force and is not inherently about translation or rotation, making the statement false. Deformation is proportional to applied force as per Hooke's Law, and vectors can indeed form right-angle triangles with their components.
Step-by-step explanation:
Deformations are associated with the change in shape or size of a body due to an applied force. This can sometimes involve the translation (motion along a path) and rotation of the body, especially in the context of rigid-body mechanics. However, deformation itself specifically refers to changes in the shape or size, not necessarily involving translation or rotation. Therefore, the statement stating 'Deformations are associated with translation and rotation of a body' is false. According to Hooke's Law, deformation is proportional to the applied force. In rotational motion, the relationship between rotational and translational variables describes how we can correlate rotational motion to motion along a straight path or in multiple dimensions. When considering vector addition, especially in two dimensions, a vector can indeed form the shape of a right-angle triangle with its x and y components, as per the Pythagorean theorem.