The answer in multiplication is the product.
Def. Scalar function. A scalar function is a function that assigns a real number (i.e. a scalar) to a set of real variables. Its general form isu = u(x1, x2, ... , xn)where x1, x2, ... , xn are real numbers.ORDef. Scalar point function. A scalar point function is a function that assigns a real number (i.e. a scalar) to each point of some region of space. If to each point (x, y, z) of a region R in space there is assigned a real number u = Φ(x, y, z), then Φ is called a scalar point function. Examples. 1. The temperature distribution within some body at a particular point in time. 2. The density distribution within some fluid at a particular point in time
well, multiplication is related to additon because addition comes from multiplication because in bidmas multiplication comes first then addition that is the main term cause.
multiplication fact means the truth
That is true, matrix multiplication is not commutative.
They give us different results. The dot product produces a number, while the scalar multiplication produces a vector.
Matrix arithmetic
It helps to understand division as the opposite of multiplication. In this case, v / s = x; a vector divided by a scalar is something unknown. Turn this around, into a multiplication: x times s = v. In other words: What must I multiply by a scalar to get a vector?
scalar multiplication
Vector quantities can be added and subtracted using vector addition, but they cannot be divided like scalar quantities. However, vectors can be multiplied in two ways: by scalar multiplication, where a scalar quantity is multiplied by the vector to change its magnitude, or by vector multiplication, which includes dot product and cross product operations that result in a scalar or vector output.
Scalar multiplication.
Matrix multiplication is when you multiply the numbers inside different matricies.[topleft#1]Xtopleft#2=top left topright#1XBottomleft=top right bottom left X Topleft=top left bottom rightX bottom right=bottom right Scalar multiplication A number out side a matrix multiplies all parts of the matrix
I think so. Copy and paste method could be used to prove this. But this is only my opinion.
There is no real difference between the two operations. Division by a scalar (a number) is the same as multiplication by its reciprocal. Thus, division by 14 is the same as multiplication by (1/14).
There 3 to 4 symbols of multiplication depending on the condition.If you are using computer for calculation the only symbol of multiplication is *.If you are using calculator the symbol for multiplication is x.If you are solving equation in paper the symbol for multiplication b/w variables are mostly represent by a dot(.) or the place is left empty. A.B or AxB the answer will be same is scalar calculation but will be different on vector calculation. If use scalar calculation 'AB' will also represent multiplication b/w two variables. But it is only applicable on variables.If we use scalar number in equation like 3(4-3)*3=9; here '3(' is representing the multiplication b/w the number and the bracket. If there is any number before a bracket without any symbol then this will show that the number is multiplying by the bracket values.
Power is the time derivative of energy, E. Energy can be scalar or vector. Thus power can be scalar or vector. Energy is a quaternion and consists of a scalar or real part Er and a vector part Ev. Energy E=Er + Ev, for example E= FR = -F.R + FxR = -FRCos(x) + FRsin(x). The real part is a scalar called "Energy" and the vector part is called "Torque" but has the same units Joules. Energy is defined by the units. P=dE/dt = d(Er + Ev)/dt = dEr/dt + dEv/dt = Pr + Pv. Power can be a scalar or a vector or both.
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.