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
.