# Two Dimensional Vector Magnitude Calculation

Calculate magnitude of 2D vectors (Two Dimensional Vector) The magnitude of a vector can be calculated by taking the square root of the sum of the squares of its components. The formula for the magnitude or length of a 2D vector is the Pythagorean Formula.

Vector A: | ||

Magnitude: |

The magnitude of vector is described as the length of physical quantities which have both magnitude and direction. The magnitude or length of any two dimensional vector is denoted by |A|. The line length shows the magnitude of the vector and arrowhead points towards direction. The vector can be numerically represented in the Cartesian co-ordinate system as A = (Ax , Ay).

suppose Ax = 5 and Ay = 6

Hence A = (5, 6).

Let’s find the magnitude of vector A

The formula for the magnitude of vector A is |A| = sqrt(x^2 + y^2)

Therefore: |A| = sqrt[5^2 + 6^2]

= sqrt (25 + 36)

= sqrt(61)

= 7.81