$9.$ User tool frame UT$[3]$ was set up by the robot programmer with the corresponding FANUC Three$-$Point Method. Which of the following statements is correct.

$($a$)$ UT$[3]$ frame is measured relative to UF$[$h$]$ frame.

$($b$)$ The orientation of UT$[3]$ frame is the same as the orientation of default TCP frame $($i$.$e$.$ Def$-$TCP frame$).$

$($c$)$ The origin of UT$[3]$ frame is exactly aligned to the origin of default Def$-$TCP frame.