The vector is
.
Find the vector
when
.
Scalar projection of
onto
is
.
Consider the other vector is
.
The dot product of the vectors
and
.
If
and
are two vectors, then the dot product of
and
is
.

.
Magnitude of the vector
is
.
Substitute
and
in
.
.
Scalar projection of
onto
is
.
.
Solve any values for
and
that satisfies the equation.
Substitute

.
Therefore, the possible vector is
or any vector of the form
.
The possible vector is
or any vector of the form
.