Study math with us and make sure that "Mathematics is easy!"
Online calculator. Addition and subtraction of vectors
This free online calculator help you to find direction sum and difference of vectors.
Using this online calculator, you will receive a detailed stepbystep solution to your problem, which will help you understand the algorithm how to find the sum of vectors and difference of vectors.
Calculator
Guide
Some theory
Vectors addition and subtraction calculator
Dimension of a vectors:
Form of first vector representation:
Form of second vector representation:
Input vectors:
First vector
= {,
,
}
Second vector
= {,
,
}
ab
Guide  how to use vectors addition and subtraction calculator
To find the sum or difference of vectors:
Select the vectors dimension and the vectors form of representation;
Type the coordinates of vectors;
Select
"+"  for addition of vectors;
""  for subtraction of vectors;
Press the button "=" and you will have a detailed stepbystep solution.
Entering data into the vectors addition and subtraction calculator
You can input only integer numbers or fractions in this online calculator. More indepth information read at these rules.
Additional features of the vectors addition and subtraction calculator
You can navigate between the input fields by pressing the keys "left" and "right" on the keyboard.
Theory. Addition and subtraction of vectors
Definition
Addition of vectors (sum of vectors)
a
+
b
is operation of a finding of a vector
c
, coordinates of which are equal to the sum of all corresponding coordinates of vectors
a
and
b
, can be defined as:
c_{i} = a_{i} + b_{i}
Definition
Subtraction of vectors (difference of vectors)
a

b
is operation of a finding of a vector
c
, coordinates of which are equal to a difference of all corresponding coordinates of vectors