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  1. 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 …

  2. 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 …

  3. 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 …

  4. Relation of unit vectors of spherical and cartesian coordinates

    Jun 7, 2018 · Relation of unit vectors of spherical and cartesian coordinates Ask Question Asked 7 years, 4 months ago Modified 7 years, 4 months ago

  5. How do the unit vectors in spherical coordinates combine to result …

    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 …

  6. Unit vectors in the cylindrical coordinate system as functions of ...

    Aug 11, 2018 · What is meant by the statement that 'The unit vectors in the cylindrical coordinate system are functions of position'. And, comparatively, how are unit vectors of rectangular …

  7. 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 1 year, 11 months ago …

  8. 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 …

  9. kinematics - What does the derivative of the unit radius vector …

    Nov 2, 2022 · If you have a unit vector that stays a unit vector while it changes in time, then it is changing direction. This is a rotation. In that case the derivative would be the angular velocity. …

  10. Is a unit vector really unitless and dimensionless?

    Oct 15, 2018 · It makes sense because a unit vector is defined as 'a vector' divided by its magnitude. Since we have the same numerical value in numerator and the denominator, a unit …