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.
Vector. Its forces not only have magnitude (strength), but also have direction.
The force on each member of the pair of objects is directed toward the center
of mass of the other one.Vector.
A scalar times a vector is a vector.
A magnetic field is neither: it is a vector field with both direction and quantity.
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.
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.
vector
Gravitational potential energy is a scalar. Gravity also has a vector energy cmV= cP.
Vector.
scalar lol
Money is a scalar quantity because it can be used in any field[no particular direction]
A scalar times a vector is a vector.
Scalar field and vector field.
vector
Vector is NOT a scalar. The two (vector and scalar) are different things. A vector is a quantity (measurement) in which a direction is important. A scalar is a quantity in which a direction is NOT important.
I think light could not be recoginzed as a vector. However, I think the light intensity could be devided into the x-y axises.
scalar field and vector field
Gravitational energy is partly potential energy, -mGM/r and partly vector energy cmV. The vector energy is not recognized because physicists define energy as a scalar, not a vector. The Universe defines energy as a Quaternion the sum of a scalar and a vector.Kinetic energy is scalar energy subset of potential energy.The gravitational energy is a Quaternion:W = -mGm/r + cmV = -vh/r + cP =-vp + cP = -mv2 + cPThe Law of Gravity creates a velocity field V that imposes itself on the mass m. The potential energy is -vp = -mv2 and the vector energy cP= cmV.The gravitational field cause both the potential energy and the vector energy. What Newton and physicists have done is to miss the fact that the mass m is moving with velocity and thus has vector momentum , vector energy.