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  1. The definition of "direction vector" - Mathematics Stack Exchange

    Jun 13, 2020 · The term direction vector seems to have ambiguous meaning or at least to be used in ambiguous ways (in my native language). A direction vector seems to be two different things in …

  2. What exactly does it mean for a vector to have a direction?

    Jun 3, 2020 · Vectors are defined as having magnitude and direction. If I understand it correctly, their magnitude is their length, meaning they have the properties of a line segment. What does it mean for …

  3. linear algebra - How to Calculate the Direction of a Vector ...

    In my experience, it's rarely useful to compute the "direction" of a 3D vector as a separate value. What do you want to use these quantities for? There may be a simpler way to do it.

  4. direction vector of line - Mathematics Stack Exchange

    Sep 8, 2023 · Let's break this down step by step and use a simple visual representation to understand why the direction vector of the line given by the equation $αx + βy + γ = 0$ is $ (β, -α)$. The equation …

  5. Direction vector of a line - Mathematics Stack Exchange

    Direction vector of a line Ask Question Asked 7 years, 11 months ago Modified 7 years, 5 months ago

  6. How to find direction and normal vector? - Mathematics Stack Exchange

    May 17, 2015 · How do I get normal vector, if I have direction vector, and vice versa? What if I want to give direction or normal vector of something like this: 6x − 7y + 7z = 52 6 x 7 y + 7 z = 52?

  7. Given the equation of a straight line, how would I find a direction vector?

    Then $ (a,b)\sim (1,b/a)$ are direction vector--multiplying by a non-zero scalar changes the magnitude, but keeps it pointing along the same line. The point slope form of the line is then

  8. Vector direction given the points? - Mathematics Stack Exchange

    Apr 5, 2012 · do you want to know the direction vector? the direction of the orange arrow is the same as the direction from A to B. So, you have to form a vector AB.

  9. Converting a Direction Vector rotation to Euller Angle rotation

    Aug 30, 2016 · My problem is: I have a body flat to a world coordinate system, which the direction vector for it is [0 0 -1]. This body is rotated getting to the following new direction [x1 y1 z1]. What I need is, …

  10. Find direction of the vector - Mathematics Stack Exchange

    Feb 17, 2016 · By direction I mean following: if I will have point C(2, 1) then I would have to create a vector CD of length, say 2, with the same direction as vector AB and find coordinates of point D.