Vector addition calculator finds sum and difference of two vectors. Addition and subtraction formulas used in the calculations are given below the calculator.

## Vector Addition and Subtraction Formulas

$$\overset { \rightarrow }{ A } ={ A }_{ x }\hat { x } +{ A }_{ y }\hat { y } +{ A }_{ z }\hat { z }$$
$$\overset { \rightarrow }{ B } ={ B }_{ x }\hat { x } +{ B }_{ y }\hat { y } +{ B }_{ z }\hat { z }$$

$$\overset { \rightarrow }{ A } +\overset { \rightarrow }{ B }=({ A }_{ x }+{ B }_{ x })\hat { x } +({ A }_{ y }+{ B }_{ y })\hat { y } +({ A }_{ z }+{ B }_{ z })\hat { z }$$
$$\overset { \rightarrow }{ A } -\overset { \rightarrow }{ B }=({ A }_{ x }-{ B }_{ x })\hat { x } +({ A }_{ y }-{ B }_{ y })\hat { y } +({ A }_{ z }-{ B }_{ z })\hat { z }$$