What is Vector notation: Definition and 66 Discussions

In mathematics and physics, vector notation is a commonly used notation for representing vectors, which may be geometric vectors, or, more generally, members of a vector space.
For representing a vector, the common typographic convention is lower case, upright boldface type, as in v. The International Organization for Standardization (ISO) recommends either bold italic serif, as in v, or non-bold italic serif accented by a right arrow, as in






v
→





{\displaystyle {\vec {v}}}
.In advanced mathematics, vector are often represented in a simple italic type, like any variable.

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  1. O

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    Homework Statement PART A: A force ~F = Fx ˆı+Fy ˆ acts on a particle that undergoes a displacement of ~s = sx ˆı + sy ˆ where Fx = 6 N, Fy = −3 N, sx = 5 m, and sy = 1 m. Find the work done by the force on the particle. Answer in units of J. PART B: Find the angle between ~F and...
  2. B

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    Afternoon, I'm studying Engineering Dynamics (4th Year Undergraduate) and I was wondering if anyone can point me to a resource with regards to rotating reference frames and vector notation? The notes I've been given aren't particularly helpful. Much appreciated.
  3. U

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    Unit Vector notation?? The vector position of a particle varies in time according to the expression r = (3.0i +6.0j)m Find expressions for velocity and acceleration as functions of time. I have NO IDEA HOW TO DO THIS.
  4. O

    Converting Radians to Vector Notation for Simplifying Expressions

    The arc length of a circle is radius times the angle between the two radius legs that connect the arc. Thus dL = R d@ and dF = I dL x B where B and dL and dF are vectors. how can I convert dL = R d@ into vector notation so that I can simplify these two expressions??
  5. C

    Azimuthal direction vector notation

    Hello everyone! I am trying to do a literature search about ion scattering spectroscopy experiments. But I am not good at the vector notation which is used in these articles. I mean the notations with square brackets like [11-2] or [1-10] etc. (-2: the bar is on 2). For instance in a graph like...
  6. J

    Vector notation. just an explanation

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  7. 4

    Electron velocity and unit vector notation

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  8. G

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  9. L

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  10. ~christina~

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  11. I

    LaTeX Latex Vector Notation: Writing Vectors in Bold and Using Arrows - Tips & Tricks

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  12. S

    Unit Vector Notation: Solve a1, a2 for Vector Equation

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  13. S

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  14. D

    Derivatives in Vector Notation

    I've got an equation (from Wikipedia)for the electrostatic potential of an electric dipole. It looks like this: \Phi (\mathbf{r}) = \frac {1} {4\pi\epsilon_0 r^2} (\mathbf{p}\cdot\hat{\mathbf{r}}) E is the electric field r, r, r\hat are as above p is the (vector) dipole...
  15. G

    Writing Gravitation Force On Central Sphere In Unit Vector Notation

    In Figure 13-34, a square of edge length 21.0 cm is formed by four spheres of masses m1 = 6.00 g, m2 = 3.00 g, m3 = 1.00 g, and m4 = 6.00 g. In unit-vector notation, what is the net gravitational force from them on a central sphere with mass m5 = 2.40 g? Well by using Newton's Law of...
  16. B

    Describing Points in Configurations using Set Theoretic and Vector Notation

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