Problem $2(10$ pts$)($please put answers in terms of the reference frame$)$

Refer to Fig. $2$ where p can slide along the bar, and

$($a$)$ Determine the position vector p with respect to o$.$ Express it in the reference frames B$\{$hat$($b$)\_(1),$hat$($b$)\_(2),$hat$($b$)\_(3)\}$ and E$\{$hat$($e$)\_(1),$hat$($e$)\_(2),$hat$($e$)\_(3)\}.(3$ pts$)$

$($b$)$ Determine the velocity of p with respect to the inertial frame E$\{$hat$($e$)\_(1),$hat$($e$)\_(2),$hat$($e$)\_(3)\}.$ Express it in the frames B$\{$hat$($b$)\_(1),$hat$($b$)\_(2),$hat$($b$)\_(3)\}$ and E$\{$hat$($e$)\_(1),$hat$($e$)\_(2),$hat$($e$)\_(3)\}.(4$ pts$)$

$($c$)$ What is the magnitude of the velocity found in $($b$)?$ Is it the same in both cases? Give reasons four your answer. Recall the magnitude of the velocity is calculated as the same of the magnitude of a vector. $(3$ pts$)$