# 2D VECTOR ADDITION SUBTRACTION CALCULATOR WITH GRAPHS

Vector addition calculator calculates addition and subtraction of up to five 2D vectors. Addition and subtraction of vectors are graphically drawn in x-y coordinate system. Vector format can be selected as magnitude and direction angle or components.

Vector addition and subtraction formulas, which are used in this calculator, are given below.

 Vector Addition / Subtraction $$\vec { A } \pm \vec { B } \pm \dots =({ A }_{ x }\pm { B }_{ x }\pm \dots )\hat { x } +({ A }_{ y }\pm { B }_{ y }\pm \dots )\hat { y }$$ Vector Components $${A}_{x}=A\cos {\theta}$$ $${A}_{y}=A\sin {\theta}$$ Vector Direction Angle $$\tan{\theta} =\frac{{A}_{y}}{{A}_{x}}$$ Vector Magnitude $$\left| A \right| =\sqrt { { { A }_{ x } }^{ 2 }+{ { A }_{ y } }^{ 2 } }$$

### Vector Addition and Subtraction Calculator:

 INPUT PARAMETERS Vector Format: Components (x,y) Magnitude/Angle VECTOR COMPONENTS Vector       VECTOR MAGNITUDES AND ANGLES Vector     Magnitude Angle (°)
 RESULTANT VECTOR  + - + - + - + - Note: Use dot "." as decimal separator.

 RESULTS Resultant Vector  Magnitude Angle(°) A+B+C+D+E