It depends on the type of product used.
A dot or scalar product of two vectors will result in a scalar.
A cross or vector product of two vectors will result in a vector.
Charge is not a vector.
Because there are two different ways of computing the product of two vectors, one of which yields a scalar quantity while the other yields a vector quantity.This isn't a "sometimes" thing: the dot product of two vectors is always scalar, while the cross product of two vectors is always a vector.
It is the cross product of two vectors. The cross product of two vectors is always a pseudo-vector. This is related to the fact that A x B is not the same as B x A: in the case of the cross product, A x B = - (B x A).
The product of two vectors can be done in two different ways. The result of one way is another vector. The result of the other way is a scalar ... that's why that method is called the "scalar product". The way it's done is (magnitude of one vector) times (magnitude of the other vector) times (cosine of the angle between them).
Product
It is necessary to know the magnitude and the direction of the vector.
Charge is not a vector.
scalar, produced by the scalar product of two vector quantities ... Force · Distance
Mainly because they aren't scalar quantities. A vector in the plane has two components, an x-component and a y-component. If you have the x and y components for each vector, you can add them separately. This is very similar to the addition of scalar quantities; what you can't add directly, of course, is their lengths. Similarly, a vector in space has three components; you can add each of the components separately.
Scalar quantities - quantities that only include magnitude Vector quantities - quantities with both magnitude and direction
Two vector quantities can be combined into a scalar quantity because a vector lives in a vector space, which requires the existence of an operation called the dot product (also commonly known as the scalar product or inner product). The exact form of this operation depends on the type of vector space, and of course one can define other operations which map two vectors into a scalar. A commonly used definition is as follows: Imagine vector one contains these values (x1, x2, x3, x4) and vector two contains these values (y1, y2, y3, y4), the dot product would turn this into: x1*y1 + x2*y2 + x3*y3 + x4*y4 The dot product gives a measure of the angle between two vectors and is often used as such in for example mechanics.
Velocity, acceleration, displacement, there are a lot.
Yes, it is a vector quantity.
The product of scalar and vector quantity is scalar.
The magnitude of dot product of two vectors is equal to the product of first vector to the component of second vector in the direction of first. for ex.- A.B=ABcos@
arithmetic mean
Momentum is the product of velocity x speed, so you can increase any of the two. Please note that velocity, and therefore also momentum, are vector quantities.