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The gravitational force fields are both scalar and vector. The forces are the first derivative of the energy.
The derivative is a Quaternion derivative X=[d/dr,Del].
The total energy is W = -mGM/r + cP and there are five forces,
F = XW= [d/dr,Del][-mGM/r, cP] = [vp/r -cDel.P, cdP/dr - Del mGM/r + cDelxP]
The scalar forces are :
vp/r centripetal scalar force
-cDel.P= -cp/r cos(PR) centrifugal scalar force
the vector forces are:
cdP/dr = -cp/r R/r tangent force
Del -mGM/r = vp/r R/r gradient force
cDelxP = RxP cp/r sin(PR) Curl force.
What else can I help you with?
Is magnetic field line scalar or vector quantity?
Vector.
What is a scalar times a vector?
A scalar times a vector is a vector.
Is magnetic field a scalar or density quantity?
A magnetic field is neither: it is a vector field with both direction and quantity.
What are the vector and scalar fields?
In mathematics, a field is a set with certain operators (such as addition and multiplication) defined on it and where the members of the set have certain properties. In a vector field, each member of this set has a value AND a direction associated with it. In a scalar field, there is only vaue but no direction.
Is magnetic field strength a vector quantity?
When one refers to the strength of a magnetic field, they're usually referring to the scalar magnitude of the magnetic field vector, so no.
Is gravitational potential a vector or scalar quantity?
vector
Is gravity field vector or scalar?
Gravitational field is a vector quantity, as it has both magnitude (strength) and direction. It represents the force experienced by a mass placed in the field due to the presence of another mass.
Is magnetic field line scalar or vector quantity?
Vector.
Is gravitational potential energy a scalar or vector quantity?
Gravitational potential energy is a scalar quantity. It only depends on the height of an object above a reference point and does not have a direction associated with it.
What is a scalar times a vector?
A scalar times a vector is a vector.
Is inertia is a scalar or vector?
vector
What are the two kinds of fields that make up an Electromagnetic?
Scalar field and vector field.
Can you add a scalar to a vector?
Yes, you can add a scalar to a vector by adding the scalar value to each component of the vector.
Is magnetic field a scalar or density quantity?
A magnetic field is neither: it is a vector field with both direction and quantity.
Is gravitational field a vector quantity?
Yes, the gravitational field is a vector quantity. It has both magnitude (strength) and direction, which are important in determining the effect of gravity on objects within the field.
Is magnetic field strength a vector quantity?
When one refers to the strength of a magnetic field, they're usually referring to the scalar magnitude of the magnetic field vector, so no.
What are the vector and scalar fields?
In mathematics, a field is a set with certain operators (such as addition and multiplication) defined on it and where the members of the set have certain properties. In a vector field, each member of this set has a value AND a direction associated with it. In a scalar field, there is only vaue but no direction.
