Vector Subtraction Calculator

Vector A
i + j + k
Vector B
i + j + k
A - B  =  8i + 2j - 2k

Vector Subtraction Calculator to find the resultant vector by finding the difference between two vectors. The concept of the vector subtraction is used to describe the difference of physical quantities which have a magnitude and a direction associated with them.

Vector Subtraction

The subtraction 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 difference 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 subtraction of two vectors A and B can be derived from the formula A - B = A + (-B).

If A = B then A - B is defined as the Zero Vector also called as Null Vector and is represented by the symbol o. It has zero magnitude and unspecified direction. A proper vector is any vector other than the null vector. The properties of the Zero Vector are A + 0 = A and A = (-A) = 0.

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 subtraction is used in many applications of mathematics, physics and other engineering operations. When it comes to calculate the difference of two vectors, this vector subtraction calculator can help you to find out the resulting vector.