Linear Combination Calculator – Solve Vectors & Matrices Online

Use this linear combination calculator to determine the result of combining two or more vectors in a straightforward and efficient manner.

Linear Combination Calculator

This calculator helps you to find the linear combination of two vectors. Linear combination means that we multiply each vector by a scalar and then add them together.

How to Use It

To use the calculator, input the components of Vector A and Vector B in the form of (x,y). Then, enter the scalars you want to multiply each vector by. Click ‘Calculate’ to find the linear combination of the two vectors.

How It Calculates Results

The calculator multiplies the first scalar by each component of Vector A and the second scalar by each component of Vector B. Then it adds the products together to form the components of the resulting vector.

Limitations

This calculator only works with two-dimensional vectors and their respective scalars. Both vectors and scalars must be number inputs. It does not validate if you enter anything other than numbers.