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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. Gravity also has a vector energy cmV= cP.
What is a scalar times a vector?
A scalar times a vector is a vector.
What are the two kinds of fields that make up an Electromagnetic?
Scalar field and vector field.
Is inertia is a scalar or vector?
vector
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.
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.
Why gradient of scalar field is vector?
The Law of Numbers?There are two kinds of numbers scalars and vectors. The law of multiplication of Numbers says, the product of a scalar and a vector is a vector.In 4D derivative is X = [d/dr, GRAD] = [d/dr, Id/dx + Jd/dy + kd/dz]GRAD is a vector.The 4D derivative of a number [b,B], where b is the scalar and B is the vector, is;X[b, B] = [d/dr, GRAD] [b.B] = [db/dr - GRAD.B, dB/dr + GRAD b + GRADxB]The general rules of numbers are:1.Scalar by scalar products are scalars e.g. db/dr2. Scalar by vectors and vector by scalars are vectors, e,g, dB/dr and GRAD b3. Vector Dot (.) Products are scalars ,e.g. GRAD.B4. Vector Cross (x) Products are vectors, e.g. GRADxB.
