Vector Addition Calculator

Vector A
i + j + k
Vector B
i + j + k
A + B  =  12i + 8j + 6k

Vector Addition Calculator to find the resultant vector by adding the two vector magnitudes. The concept of the vector addition is used to describe the addition of physical quantities which have both a magnitude and a direction associated with them.

Vector Addition

The addition of vectors A and B is a vector C formed by placing the initial point of B on the terminal point of A and then joining the initial point of A to the terminal point of B. The sum is written as C = A + B. A vector quantity has magnitude and direction and it is denoted by a small arrow on its symbol. The symbol without an arrow A indicates the magnitude. The length of the arrow is proportional to the magnitude of the vector. A vector can be specified either by its magnitude and direction or by its components. The vector addition obeys the following properties such as Commutative and Associative Law.
Vector Commutative Law A + B = B + A
Vector Associative Law A + (B + A) = (A + B) + C
The formula for Vector Addition C = A + B

Negative Vector
For each vector A there exists a negative vector . This vector has direction opposite to that of vector a but has the same magnitude; it is denoted by -A.

The Vector addition is used in many applications of mathematics, physics and other engineering operations. When it comes to calculate the sum of two vectors, this Vector Addition Calculator can help you to find out the resulting vector.