Question 5
(CZS) A cube $ABCDA'B'C'D'$ is given.
(a) Find the locus of all midpoints of segments $XY$, where $X$ is any point on segment $AC$ and $Y$ any point on segment $B'D'$.
(b) Find the locus of all points $Z$ on segments $XY$ such that $\overrightarrow{ZY}=2\overrightarrow{XZ}$.
(a) Find the locus of all midpoints of segments $XY$, where $X$ is any point on segment $AC$ and $Y$ any point on segment $B'D'$.
(b) Find the locus of all points $Z$ on segments $XY$ such that $\overrightarrow{ZY}=2\overrightarrow{XZ}$.