
What is the definition of unit vector? - Physics Stack Exchange
Apr 3, 2021 · 2 In many physics textbooks it is given the following definition of unit vector: "A unit vector is every vector whose magnitude is 1 unit". I don't like this definition. On one hand, it is quite …
Confusion about unit vectors - Physics Stack Exchange
Aug 2, 2025 · By definition, A unit vector is a vector with magnitude $1$. But, what does this even mean? Shouldn't the magnitude come with units like cm, m, inches etc.? Upon reading more about …
Unit Vector vs. Basis Vector - Physics Stack Exchange
Jun 23, 2016 · Rather you need to talk about a particular basis, which is a set of vectors with nice properties (LI, span the space) of which the vector of interest is one, and this is what people mean …
How do the unit vectors in spherical coordinates combine to result in a ...
Feb 5, 2020 · I might be missing the obvious, but I can't figure out how the unit vectors in spherical coordinates combine to result in a generic vector. In cartesian coordinates, we would have for …
Why do we need a unit vector? - Physics Stack Exchange
Jan 31, 2023 · I am taking a course in dynamic mechanics. It includes a lot of vectors. A vector by definition has a direction and a magnitude. But I don't get it on why we have to find a unit of it to find the
Description of unit vectors in Cartesian vs. Polar Coordinates
Jan 31, 2018 at 21:32 I think part of what throws me off is the use of the term "unit vector". To me this is just any vector with norm 1, but it seems to mean something more here. Also, maybe I need to …
Find the Unit Vector of a Three Dimensional Vector
I know that with a two-dimension unit vector that you can split it up into components, treat it as a right-triangle, and find the hypotenuse. Following that idea, I tried something like this, where I found the …
electrostatics - Provided a unit vector and Force, how can I calculate ...
Sep 21, 2021 · Provided a unit vector and Force, how can I calculate it's components? [closed] Ask Question Asked 4 years, 3 months ago Modified 4 years, 3 months ago
Position vector vs polar coordinates - Physics Stack Exchange
Mar 9, 2022 · The figure below explains how the same position vector $\vec r$ can be expressed using the polar coordinate unit vectors $\hat n$ and $\hat l$, or using the Cartesian coordinates unit …
Where does the expression of the unit vector $\hat {z}$ in terms of ...
Nov 11, 2023 · Where does the expression of the unit vector $\hat {z}$ in terms of unit vectors in spherical coordinates comes from? [duplicate] Ask Question Asked 2 years, 1 month ago Modified 2 …