A variable weight vector with parameters is constructed by using its definition. A theorem for the relationship of a variable weight vector and its state variable weight is proved. By introducing a concept of relative adjustment degree, the capability of a variable weight vector is measured to change weights. The relative adjustment degree of the variable weight vector is calculated, and its capability to chang weights is analyzed. Finally, an example is solved by using the variable weight vector. The result shows that not only the variable weight vector has strong capability to adjust weights, but also its capability to adjust weights changes when the value of the parameter is adjusted.