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 .