Measurable quantities are vectors or scalars.
"Space" is not a measurable quantity.
"Volume" is. It's a scalar.
Vectors can be added to other vectors in the same vector space. Scalars can be added to other scalars if they have the same units. Scalars cannot be added to vectors, nor vice versa, directly.
The result is a vector.
It has both velocity and direction. A vector has direction and magnitude.
Given that time only has one dimension, it doesn't make much sense to talk about time as a "vector". Well, technically you can have one-dimensional vectors, but those are simply called "scalars".In the Theory of Relativity, time is simply one dimension more, together with the three dimensions of space. In this case, time by itself is NOT a vector quantity, but a component of a vector quantity.
The Law of Numbers?There are two kinds of numbers scalars and vectors. The law of multiplication of Numbers says, the product of a scalar and a vector is a vector.In 4D derivative is X = [d/dr, GRAD] = [d/dr, Id/dx + Jd/dy + kd/dz]GRAD is a vector.The 4D derivative of a number [b,B], where b is the scalar and B is the vector, is;X[b, B] = [d/dr, GRAD] [b.B] = [db/dr - GRAD.B, dB/dr + GRAD b + GRADxB]The general rules of numbers are:1.Scalar by scalar products are scalars e.g. db/dr2. Scalar by vectors and vector by scalars are vectors, e,g, dB/dr and GRAD b3. Vector Dot (.) Products are scalars ,e.g. GRAD.B4. Vector Cross (x) Products are vectors, e.g. GRADxB.
Answer: A vector is always the product of 2 scalars
Vectors can be added to other vectors in the same vector space. Scalars can be added to other scalars if they have the same units. Scalars cannot be added to vectors, nor vice versa, directly.
no!!!only scalars and scalars and only vectors and vectors can be added.
I take the term 'number' in this context to mean the scalars by which vectors may be multiplied. These can be the elements of any field.
The result is a vector.
Vectors have direction. Scalars don't.
It has both velocity and direction. A vector has direction and magnitude.
Both scalars and vectors have quantity. The difference is a vector has quantity and direction, whereas scalars only have quantity.
Heat is energy. It and temperature are both scalars.
The zero vector occurs in any dimensional space and acts as the vector additive identity element. It in one dimensional space it can be <0>, and in two dimensional space it would be<0,0>, and in n- dimensional space it would be <0,0,0,0,0,....n of these> The number 0 is a scalar. It is the additive identity for scalars. The zero vector has length zero. Scalars don't really have length. ( they can represent length of course, such as the norm of a vector) We can look at the distance from the origin, but then aren't we thinking of them as vectors? So the zero vector, even <0>, tells us something about direction since it is a vector and the zero scalar does not. Now I think and example will help. Add the vectors <2,2> and <-2,-2> and you have the zero vector. That is because we are adding two vectors of the same magnitude that point in opposite direction. The zero vector and be considered to point in any direction. So in summary we have to state the obvious, the zero vector is a vector and the number zero is a scalar.
No they are scalars, though the rate of change could be a vector and the wind is definitely a vector (both direction and speed)
scalars are those quantities which have magnitude as well as unit.and vector are those quantities which has magnitude,unit as well as direction.