RedCrab Math Tutorial

Calculate the scalar product of two vectors

The multiplication of vectors has been briefly described in the section Vectors Calculation. It was shown that the result is not a vector but a real number (scalar product or dot product).

This section describes the calculation of the scalar product; and how the angle between the vectors can be calculated with the help of the scalar product.

For the two vectors Vektor Definition and Vektor Definition Y the scalar produkt is defined asVektor Multiplikation

Berechnung Skalarprodukt


Calculate angle between two vectors

From the scalar product described above and the magnitude of the vectors, the angle included by the vectors can be calculated.

The following formula is used for this: Winkel zweier Vektoren berechnen

The following example calculates the angle of the vectors

Winkel Vektoren berechnen

The result is :Resultat der Winkelberechnung von Vektoren
The figure below shows the graphical representation of the vectors and the angle


Vector Definition
Vector Calculation
Vector Addition
Vector Subtraction
Vector Magnitude
Vector Scalar Product
Angle between two Vectors

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