Step 1:
\The vector is 
Direction cosines for the vector
are
and
.
where
is magnitude of the vector
.
.
Magnitude of the vector
is
.
Direction cosines of the vector
are
and
.
Step 2:
\Direction angles of the vector
are
and 
Direction angles of the vector
are
and
.
Solution:
\Direction cosines of the vector
are
and
.
Direction angles of the vector
are
and
.