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 …

Jun 7, 2018 · Relation of unit vectors of spherical and cartesian coordinates Ask Question Asked 7 years, 6 months ago Modified 7 years, 6 months ago

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 …

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 …

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 …

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 …

Feb 1, 2018 · The vectors ˆx, ˆy are the same at all points in the plane, whereas the new vectors ˆr, ˆϕ change their directions as the position vector r moves around. In image a) above, the unit …

Nov 16, 2020 · How do I now express cartesian unit vectors in terms of polar unit vectors to show that they are independent of the r r and θ θ? If you express the cartesian unit vectors in terms …

What is the unit vector in electric field formula? [duplicate] Ask Question Asked 6 years, 10 months ago Modified 6 years, 10 months ago

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 …