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

Direction angles:
,
and
.
Consider
.


.
Consider
.

.
.
Consider:
.

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