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.
A scalar quantity is a non-vector quantity. In a vector quantity, direction is relevant. In a scalar quantity, it is not. For example, mass (measured in kg.) is a scalar; force is usually indicated as a vector (magnitude in Newton, but the direction is also relevant).A scalar quantity is a non-vector quantity. In a vector quantity, direction is relevant. In a scalar quantity, it is not. For example, mass (measured in kg.) is a scalar; force is usually indicated as a vector (magnitude in Newton, but the direction is also relevant).A scalar quantity is a non-vector quantity. In a vector quantity, direction is relevant. In a scalar quantity, it is not. For example, mass (measured in kg.) is a scalar; force is usually indicated as a vector (magnitude in Newton, but the direction is also relevant).A scalar quantity is a non-vector quantity. In a vector quantity, direction is relevant. In a scalar quantity, it is not. For example, mass (measured in kg.) is a scalar; force is usually indicated as a vector (magnitude in Newton, but the direction is also relevant).
A scalar quantity added to a vector quantity is a complex quantity. An example is a complex number z = a + ib, a is the scalar and ib is the vector quantity.If the vector quantity is 3 dimensional, ib + jc + kd, then the scalar and vector forms a quaternion quantity.
Yes, weight is a scalar quantity not a vector quantity.
vector
scalar direction is a vector quantity
True, a vector quantity has direction, and a scalar quantity does not.
A vector quantity includes a direction; a scalar does not.A vector quantity includes a direction; a scalar does not.A vector quantity includes a direction; a scalar does not.A vector quantity includes a direction; a scalar does not.
Scalar quantity.
Density is a scalar quantity. We don't talk about the density of a material as having direction, which is a characteristic of a vector quantity.
Vector quantity is a quantity characterized by magnitude and direction.Whereas,Scalar quantity is a quantity that does not depend on direction.
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.
To make it easy, vector quantities have a direction aswell as a magnitude.While scalar quantities just have a magnitudeAn example of a scalar quantity is "Speed" and the vector quantity would be "Velocity"