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 …

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 …

Jun 23, 2016 · A unit vector might be a basis vector, and vice-versa: a unit vector is simply a vector whose magnitude is 1, while a basis vector is an element of a basis of a vector space V …

Aug 5, 2025 · There are two unit vectors along the axis of rotation, pointing in opposite directions. What is your criterion for choosing between them? Do these formulas reflect that choice?

Feb 5, 2020 · The unit vectors are non-constant, depending on position and its coordinates. For example er at any given point is the vector pointing from the origin to the point,then converted …

Jun 12, 2022 · The block can also be described as a primitive unit cell of a given volume (typically parallelpiped) and the basis is the matter contained in the unit cell. The primitive unit cell is the …

Jun 25, 2019 · The question is, how would we define the direction of the wave or rather how would we define the unit vector of the complex wave vector (I am thinking of something like k^ …

Aug 10, 2023 · where n n is the unit normal vector to that element of area that admits the greatest net crossings. I'm having a slightly hard time digesting this definition; it just seems rather …

Jun 19, 2019 · The wave vector is perpendicular to the direction of motion of waves, by definition. Let's say you observe these waves and you'd want to count number of waves per unit length in …

Jan 31, 2023 · A vector by definition has a direction and a magnitude, I don't get it on why we have to find a unit of it to find the direction of a vector. Mathematically, this means that any …