The vector .
The magnitude of vector is
.
The angle between and
is
.
Let .
The angle between and
is
.
.
The magnitude of vector is
.
Squaring on each side.
\Substitute .
.
Solve for .
The roots of are
.
and
.
and
.
Find when
.
Substitute in
.
.
Find when
.
Substitute in
.
.
Vector or
.
or
.