Calculate the addition of two or three vectors. This vector addition calculator will determine the vector points, magnitude, and angle of the new vector.

## Vector Addition Formula

Vector addition involves adding each of the individual points on the vector to come up with new vector points. For example:

X (new vector) = X (vector 1) + X (vector 2)

## How to add two vectors

The following is a step by step guide on adding vectors.

- The first step is to find the coordinates or values of each vector. For this example we will assume the first vector is (1,2,3) and the second vector is (4,5,6)
- The next step is to add the coordinates of the corresponding vector for example the X-coordinate would be 1+4 = 5. The resulting vector is (5,7,9)
- Finally, analyze the results to make sure all of the calculations were performed correctly.

## What is a vector?

A vector is an object used to describe direction and magnitude in the coordinate plane. They are typically drawn as arrows when represented in a certain space. They are used mostly in physics, specifically mechanics, to describe motion of objects or forces on objects.

For examples, imagine a bowling ball rolling across the ground. The ball as a velocity vector that tells us about it’s movement. It has a direction and magnitude.

This same bowling ball also has a vector to describe its momentum. It will have the same direction as the velocity, but the magnitude will be different since momentum is a combination of velocity and mass. However, since mass is a scalar quantity, it only effects the magnitude and not the direction.

As i noted above, there are objects called scalars that are talked about in the same space as vectors. Scalars are simply that, a modifier of the magnitude of a specific vector.

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