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Vector Dot Product Calculator

Calculate the 3D vector dot product, magnitudes, and angle between two vectors. Free scalar product calculator.

Parámetros

Introduce los datos necesarios a continuación

Listo para calcular

Introduce tus parámetros y pulsa calcular para ver los resultados aquí.

Cómo usarla

  1. Introduce Vector 1 X.
  2. Introduce Vector 1 Y.
  3. Introduce Vector 1 Z.
  4. Pulsa Calcular para ver Dot Product, Angle Between Vectors, Magnitude 1 y Magnitude 2.
  5. Revisa el resultado. Usa Restablecer para probar otros valores.

Acerca de esta calculadora

The dot product (scalar product) of two vectors is a·b = axbx + ayby + azbz. This calculator also returns each magnitude and the angle between the vectors when they are non-zero.

Dot product and angle

a · b = axbx + ayby + azbz; θ = arccos((a · b) / (|a||b|))

a = (1, 2, 3), b = (4, −5, 6) → 12; angle from the inverse cosine of 12 / (|a||b|).

Preguntas frecuentes

How do you calculate a dot product?+

Multiply corresponding components and add: axbx + ayby + azbz. A result of 0 means the vectors are perpendicular (if neither is the zero vector).

What is the difference between dot product and cross product?+

The dot product is a scalar and relates to the angle between vectors. The cross product is a vector perpendicular to both inputs. Use the related cross product tool for that.

¿Vector Dot Product Calculadora es gratis?+

Sí. Vector Dot Product Calculadora es gratis y no requiere cuenta. El cálculo se hace en tu navegador.

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dot product calculatorscalar product calculatorvector dot productvectordot productscalar productmatemáticas