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> The angle between two vectors(given the dot product and the magnitudes of two vectors)
The angle between two vectors(given the dot product and the magnitudes of two vectors)
Formula
theta
angle between two vectors a and b
ab
dot product of vectors
a
magnitudes of vectors a
b
magnitudes of vectors b
Formula description
In Euclidean geometry, the dot product of vectors expressed in an orthonormal basis is related to their length and angle.
Calculator (
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ab
a
b
theta
Precision
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Formula code
C
C#
C++
Java
JavaScript
LaTeX
PHP
#include
theta = asin(ab/a*b)
theta = Math.Asin(ab/a*b)
#include
theta = asin(ab/a*b)
theta = Math.asin(ab/a*b)
theta = Math.asin(ab/a*b)
\theta =\arcsin \frac{\mathbf{a} \times \mathbf{b}}{\| a \| \| b \|}
$theta = asin($ab/$a*$b)
References
wikipedia:Geometric interpretation.
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