 # Scalar and vector fields in physics pdf

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Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. Connect and share knowledge within a single location that is structured and easy to search. Could someone please indicate precisely the difference between a scalar and a vector field? I find no matter how many times I try to understand, but I always am confused in the end.

### 10.1.2: What Are Fields?

Precision tests of general relativity GR can be conducted by observing binary pulsars. Theories with massive fields exist to explain a variety of phenomena from dark energy to the strong C P problem. In this paper, we study the ability of pulsar binaries to probe theories involving massive scalar and vector fields through the measurement of the orbital decay rate. We find new constraints on bound dark matter interactions with PSR J, and a black hole—pulsar discovery would likely improve these further. Such bounds are complementary to future gravitational-wave bounds. ## Topographical Field

Scalar and vector quantities are ubiquitous in physics. However, most physics texts at the undergraduate level provide only a brief description of their nature. This creates confusion for many: all magnitudes are scalars and any physical quantity with magnitude and direction is defined as vector. The true test of a scalar or vector quantity comes by testing its nature under Galilean transformations, directed line segment, parallelogram or triangular law of addition. This article covers the nature of scalars and vectors that is appropriate for the undergraduate level. example electric field of a point charge is large near the charge and it decreases as we temperature is a scalar quantity and by scalar field we mean that there are a set of values of a 1This document is created by ars2018.org 3.

### Vector field

In vector calculus and physics, a vector field is an assignment of a vector to each point in a subset of space. Vector fields are often used to model, for example, the speed and direction of a moving fluid throughout space, or the strength and direction of some force , such as the magnetic or gravitational force, as it changes from one point to another point. The elements of differential and integral calculus extend naturally to vector fields. When a vector field represents force , the line integral of a vector field represents the work done by a force moving along a path, and under this interpretation conservation of energy is exhibited as a special case of the fundamental theorem of calculus.

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A scalar is an entity which only has a magnitude — no direction. Examples of scalar quantities include mass, electric charge, temperature, distance, etc. A vector, on the other hand, is an entity that is characterized by a magnitude and a direction.

• #### Prefetlati1973 17.11.2020 at 17:13

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We show, in the Robertson-Walker metrics, that the minimal energy criterion to choose the vacuum is compatible with the cancellation of the non-local infinities coming from the particle creation terms, if the conformal gravitational mode or dilatation mode is quantized.

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