It is not possible the addition of scalars as well as vectors because vector quantities are magnitude as well as direction and scalar quantities are the only magnitude; they have no directions at all. Addition is possible between scalar to scalar and vector to vector. Under some circumstances, you may be able to treat scalar quantities as being along some previously undefined dimension of a vector quantity, and add them that way. For example, you can treat time as a vector along the t-axis and add it to an xyz position vector in 3-space to come up with a four-dimensional spacetime vector.
A scalar times a vector is a vector.
if you take a vector (= group of numbers) and you divide it by a scalar (=one number) then you get a vector (=group of numbers)
Scalar
Time is scalar
For differentiation, you have to divide a vector by a scalar. Therefore, you should get a vector.
It is not possible the addition of scalars as well as vectors because vector quantities are magnitude as well as direction and scalar quantities are the only magnitude; they have no directions at all. Addition is possible between scalar to scalar and vector to vector. Under some circumstances, you may be able to treat scalar quantities as being along some previously undefined dimension of a vector quantity, and add them that way. For example, you can treat time as a vector along the t-axis and add it to an xyz position vector in 3-space to come up with a four-dimensional spacetime vector.
A scalar times a vector is a vector.
vector
The product of scalar and vector quantity is scalar.
Scalars are single numbers, while vectors have both magnitude and direction. Adding a scalar to a vector would change the vector's magnitude but not its direction, leading to a different type of mathematical operation. It is not possible to directly add a scalar to a vector in the same way you would add two vectors of the same dimension.
If a direction is relevant, then it is NOT a scalar, but a vector.
if you take a vector (= group of numbers) and you divide it by a scalar (=one number) then you get a vector (=group of numbers)
Scalar
When multiplying a vector by a scalar, each component of the vector is multiplied by the scalar. This operation changes the magnitude of the vector but not its direction. Similarly, dividing a vector by a scalar involves dividing each component of the vector by the scalar.
An earthquake is neither a scalar nor a vector. It is an event.
vector