# 2D vector magnitude calculator

# 2D vector magnitude calculator

To calculate the magnitude (or length) of a 2D vector, you need to use the Pythagorean theorem. The formula is:

**magnitude = √(x^2 + y^2)**

where x and y are the components of the vector in the x and y directions, respectively.

Here’s an example of how to use the formula:

Suppose you have a vector with components x = 3 and y = 4. To find the magnitude of the vector, you would calculate:

**magnitude = √(3^2 + 4^2)**

**magnitude = √(9 + 16)**

**magnitude = √25**

**magnitude = 5**

Therefore, the magnitude (or length) of the vector is 5 units.

## 2D vector magnitude

The magnitude (or length) of a 2D vector is calculated using the Pythagorean theorem.

Let’s say you have a vector with components (x, y). The magnitude of the vector is given by the formula:

**magnitude = √(x^2 + y^2)**

For example, suppose you have a vector with components (3, 4). Then the magnitude of the vector is:

**magnitude = √(3^2 + 4^2) = √(9 + 16) = √25 = 5**

Therefore, the magnitude (or length) of the vector with components (3, 4) is 5 units.