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3D Vector Functions
k⋅V
-
scalar multiplication
V/k
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scalar division
V / |V|
-
Computes the
Unit Vector
|V|
-
Computes the
magnitude of a vector
U + V
-
Vector addition
U - V
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Vector subtraction
|U - V|
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Distance between vector endpoints.
|U + V|
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Magnitude of vector sum.
V • U
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Computes the dot product of two vectors
V x U
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Computes the cross product of two vectors
V x U • W
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Computes the mixed product of three vectors
Vector Angle
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Computes the angle between two vectors
Vector Area
-
Computes the area between two vectors
Vector Projection
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Compute the vector projection of V onto U
.
Vector Rotation
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Compute the result vector after rotating around an axis
.
Vector Components 3D
- Returns a vector's magnitude, unit vector, spherical coordinates, cylindrical coordinates and angle from each axis.
(ρ, θ, φ) to (x,y,z)
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Spherical to Cartesian coordinates
(x,y,z) to (ρ, θ, φ)
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Cartesian to Spherical coordinates
(r, θ, z) to (x,y,z)
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Cylindrical to Cartesian coordinates
(x,y,z) to (r, θ, z)
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Cartesian to Cylindrical coordinates
(x,y) to
(r, θ)
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Cartesian to Polar
(r, θ) to (x,y)
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Polar to Cartesian
Vector Normal to a Plane Defined by Three Points
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