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 …

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 …

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 …

Sep 24, 2017 · The unit vector r^ r ^ can be rotated with the locus of the head of the vector shown as a dashed black line which is an arc of a circle of radius one. As you want θ^ θ ^ shown in red to be at …

Nov 4, 2016 · Except for this parenthetical remark, this makes sense to me, as the unit vectors in curvilinear coordinates are functions of the coordinates, and their derivatives with respect to the …

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 …

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

Jun 7, 2018 · Relation of unit vectors of spherical and cartesian coordinates Ask Question Asked 7 years, 8 months ago Modified 7 years, 8 months ago

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, 2 months ago Modified 2 …

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 …