Vector Calculator

• 2d Vector Addition
• 2d vector angle
• 2d Vector Magnitude
• 2d Vector Product
• 2d Vector Subtraction
• 3d Vector Angle
• 3d Vector Dot Product
• 3d Vector Magnitude
• vector-addition
• vector-cross-product
• vector-multiplication
• vector-subtraction
• Go to index page

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