(a) Statement 1: Mechanical impedance at an interaction port can be defined as a dynamic operator that determines an output force in response to an input velocity at the same port. Statement 1 is Correct. Mechanical impedance is defined as the ratio of force to velocity, typically in the frequency or Laplace domain. It characterizes how a system resists motion under force - a core idea in impedance control. Statement 2: A mechanical admittance is a dynamic operator that determines an output velocity in response to an input force. Statement 1 is Correct. Admittance is the inverse of impedance. It defines how a system responds with velocity to an applied force- useful in admittance control schemes. Statement 3: For linear systems, admittance is proportional to impedance, and both can be represented as transfer functions in Laplace domain. Statement 3 is Incorrect. In linear systems, admittance is the inverse of impedance, not proportional. - If Z(s) is impedance, then Y(s)=1∕(Z(s)Y(s)) is admittance. So, this statement is mathematically inaccurate.