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Measurable quantities are vectors or scalars. "Space" is not a measurable quantity. "Volume" is. It's a scalar.
scalars are quantities that are completely describe by their magnitude only
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.
cost temperature speed
Generally there are two types of physical quantities. One without direction known as scalars other with direction known as vectors. While there are other physical quantities as well that cannot be classified under the two above mentioned categories, they are tensors, matrices, spinors and quaternions.
Scalars and Vectors quantities
Measurable quantities are vectors or scalars. "Space" is not a measurable quantity. "Volume" is. It's a scalar.
there are two types of quantities - Scalars and vectors. Scalars are quantities which intrinsically have the property of magnitude only. Vectors are quantities which intrinsically have both the properties of magnitude and direction.
scalars are quantities that are completely describe by their magnitude only
scalars are those quantities which have magnitude as well as unit.and vector are those quantities which has magnitude,unit as well as direction.
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.
Scalars are quantities that are fully described by magnitude aloneVectors are quantities that are fully described by both magnitude and a direction.Duration of a flight is simply a magnitude and there is no direction so it is a scalar.
cost temperature speed
All scalar quantities have magnitudes; what scalars don't have is direction. The magnitudes can take any value, +ve or -ve (or zero).
It is a vector since it has both a magnitude and a direction. Scalar quantities only have a magnitude.
both physical quantities can be differentiate by a direction A quantity having direction is vector and having no direction is scalar for example force, acceleration, velocity are vector while mass, time, distance etc are scalars Answer 2: You understand scalar and vector quantities by understanding Quaternions. A Quaternion consists of a scalar w and three vectors (Ix + Jy + kz), Q=w + Ix +Jy + kz = w + V = Q[ cosA + 1V sinA ]. Scalars have even multiple of 90 degrees, vectors have odd multiples of 90 degrees. All other angles give the sum of a scalar and a vector or a Quaternion. Most quantities are quaternions and can be scalar and vector and both; e.g. force, velocity, Electromagnetic fields,etc. The angle determines a scalar, a vector or both a Quaternion. Bosons are scalars and Fermions are vectors, all are Quaternions.
Generally there are two types of physical quantities. One without direction known as scalars other with direction known as vectors. While there are other physical quantities as well that cannot be classified under the two above mentioned categories, they are tensors, matrices, spinors and quaternions.