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| template<class CoordSystem , class U >  | 
| PositionVector3D< CoordSystem >  | ROOT::Math::operator* (typename PositionVector3D< CoordSystem, U >::Scalar a, PositionVector3D< CoordSystem, U > v) | 
|   | Multiplication of a position vector by real number a*v.  
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| template<class CoordSystem1 , class CoordSystem2 , class U >  | 
| PositionVector3D< CoordSystem2, U >  | ROOT::Math::operator+ (DisplacementVector3D< CoordSystem1, U > const &v1, PositionVector3D< CoordSystem2, U > p2) | 
|   | Addition of a DisplacementVector3D and a PositionVector3D.  
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| template<class CoordSystem1 , class CoordSystem2 , class U >  | 
| PositionVector3D< CoordSystem2, U >  | ROOT::Math::operator+ (PositionVector3D< CoordSystem2, U > p1, const DisplacementVector3D< CoordSystem1, U > &v2) | 
|   | Addition of a PositionVector3D and a DisplacementVector3D.  
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| template<class CoordSystem1 , class CoordSystem2 , class U >  | 
| DisplacementVector3D< CoordSystem1, U >  | ROOT::Math::operator- (const PositionVector3D< CoordSystem1, U > &v1, const PositionVector3D< CoordSystem2, U > &v2) | 
|   | Difference between two PositionVector3D vectors.  
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| template<class CoordSystem1 , class CoordSystem2 , class U >  | 
| PositionVector3D< CoordSystem2, U >  | ROOT::Math::operator- (PositionVector3D< CoordSystem2, U > p1, DisplacementVector3D< CoordSystem1, U > const &v2) | 
|   | Subtraction of a DisplacementVector3D from a PositionVector3D.  
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| template<class char_t , class traits_t , class T , class U , typename std::enable_if< std::is_arithmetic< typename PositionVector3D< T, U >::Scalar >::value >::type *  = nullptr>  | 
| std::basic_ostream< char_t, traits_t > &  | ROOT::Math::operator<< (std::basic_ostream< char_t, traits_t > &os, PositionVector3D< T, U > const &v) | 
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| template<class char_t , class traits_t , class T , class U >  | 
| std::basic_istream< char_t, traits_t > &  | ROOT::Math::operator>> (std::basic_istream< char_t, traits_t > &is, PositionVector3D< T, U > &v) | 
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