The required vector x is
.
Step-by-step explanation:  Given that a basis B of R² consists of vectors (5, -6) and (-2, -2).
We are to find the vector x in R² whose co-ordinate vector relative to the basis B is .
Let us consider that a, b are scalars such that
Subtracting equation (ii) from equation (i), we get
and from equation (i), we get
Thus, the required vector x is
.