The vector is
.
If the vector is
, then the magnitude is
.
Here
,
and
.


.
Direction angles:
,
and
.
Consider
.
Substitute
and
.


.
Conisder
.
Substitute
and 


.
Consider
.
Substitute
and
.


.
Vector in terms of cosine angles:
.
Substitute
,
,
and
.
.
The direction angles of each vector is
,
,
.
Vector is
.