$1.)16$

$\{6\}$

The digram above shows a manipulator with $5$ degress of freedom. The values of BPS and SPG are Shown below. Frame $\{{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\}$ is rotafed with respect to frame $\{B\}$ by $25$ degrees and frame $\{G\}$ is rotated with respect to frame $\{$s$\}$ by $30$ degres. Soth retations occur avound $z$ axis and the position rector have the values shown belown.

$B_{DS}=[3,0,0{]}^{TT},s_G=[2,3,3{]}^{TT}$

What would be the position of the ovigin of flame $\{6\}$ with respect to frame $B?$