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:
VECTOR COMPONENTS
2D VECTOR ADDITION (COMPONENTS)
Vector Vector A Vector B Vector C Vector D Vector E
VECTOR MAGNITUDES AND ANGLES
2D VECTOR ADDITION (MAGNITUDES AND ANGLES)
Vector Vector A Vector B Vector C Vector D Vector E
Magnitude
Angle (°)
RESULTANT VECTOR
Resultant Vector Vector A Vector B Vector C Vector D Vector E

 




Note: Use dot "." as decimal separator.


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


Reference: