Online graphically difference of vectors

Subtraction of two two-dimensional Vectors v and w

The operation with the vectors is graphically presented. By moving the vector endpoints the vectors can be changed. The red vector is the result of the vector subtraction. The dotted line is the parallel moved and inverted vector.

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v_x =

v_y =

w_x =

w_y =

Subtraction of vectors

The subtraction of vectors is done in Cartesian coordinates componentwise.

Geometrically, the construction is similar to the addition of only the vector will be mirrored to the negative sign in the vector direction.

$\vec{v} - \vec{w} = (\begin{matrix} v_{1} \\ v_{2} \\ ⋮ \\ v_{n} \end{matrix}) - (\begin{matrix} w_{1} \\ w_{2} \\ ⋮ \\ w_{n} \end{matrix}) = (\begin{matrix} v_{1} - w_{1} \\ v_{2} - w_{2} \\ ⋮ \\ v_{n} - w_{n} \end{matrix})$

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