The link of a robot has a length of $0\mathrm{.}4$ m and is originally aligned

with the x$-$axis by being directly connected to the base of the

robot via a spherical joint. An operator rotates the joint using

the teach pendant in relative mode $90\backslash$deg around the z$-$axis, and

then $180\backslash$deg around the y$-$axis, find the position of the extreme of

the link in terms of the base using both rotation Matrix and

quaternions.