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Calculateur de vecteurs

Calculez la norme, la somme et le produit scalaire de vecteurs.

Introduction

Vector Calculator — Compute vector magnitude, sum, and dot product. Enter Vector 1 X, Vector 1 Y, Vector 1 Z, Vector 2 X, Vector 2 Y, Vector 2 Z to get an instant, accurate result.

Formule

Magnitude = √(x²+y²+z²) for each vector. Sum adds components (x1+x2, y1+y2, z1+z2). Dot product = x1×x2 + y1×y2 + z1×z2. z defaults to 0 for 2D vectors.

Étape par étape

  1. Enter the Vector 1 X.
  2. Enter the Vector 1 Y.
  3. Enter the Vector 1 Z.
  4. Enter the Vector 2 X.
  5. Enter the Vector 2 Y.
  6. Enter the Vector 2 Z.
  7. Click Calculate to see your result instantly.

Exemple concret

Example: With Vector 1 X = 1, Vector 1 Y = 2, Vector 1 Z = 3, Vector 2 X = 4, Vector 2 Y = 5, Vector 2 Z = 6, the Vector Calculator gives Magnitude 1: 3.7417, Magnitude 2: 8.775, Sum: 5, 7, 9.

Questions Fréquentes

Does this support 2D vectors?
Yes, leave the z-component as 0 to work in two dimensions.
What does the dot product tell you?
It relates to the angle between the two vectors — a dot product of 0 means the vectors are perpendicular.
What inputs does the Vector Calculator need?
You'll need to provide: Vector 1 X, Vector 1 Y, Vector 1 Z, Vector 2 X, Vector 2 Y, Vector 2 Z. All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Vector Calculator?
The Vector Calculator applies the formula exactly as calculated — Magnitude = √(x²+y²+z²) for each vector. Sum adds components (x1+x2, y1+y2, z1+z2). Dot product = x1×x2 + y1×y2 + z1×z2. z defaults to 0 for 2D vectors. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Vector Calculator free to use?
Yes, the Vector Calculator is completely free, requires no signup, and runs instantly in your browser.

À propos de Calculateur de vecteurs

The Vector Calculator uses a real, verifiable formula — Magnitude = √(x²+y²+z²) for each vector. Sum adds components (x1+x2, y1+y2, z1+z2). Dot product = x1×x2 + y1×y2 + z1×z2. z defaults to 0 for 2D vectors. — so results are accurate every time, not an approximation.