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  2. Swizzling (computer graphics) - Wikipedia

    en.wikipedia.org/wiki/Swizzling_(computer_graphics)

    In computer graphics, swizzles are a class of operations that transform vectors by rearranging components. [1] Swizzles can also project from a vector of one dimensionality to a vector of another dimensionality, such as taking a three-dimensional vector and creating a two-dimensional or five-dimensional vector using components from the original vector. [2]

  3. Vector (mathematics and physics) - Wikipedia

    en.wikipedia.org/wiki/Vector_(mathematics_and...

    In the natural sciences, a vector quantity (also known as a vector physical quantity, physical vector, or simply vector) is a vector-valued physical quantity. [9] [10] It is typically formulated as the product of a unit of measurement and a vector numerical value (), often a Euclidean vector with magnitude and direction.

  4. Force - Wikipedia

    en.wikipedia.org/wiki/Force

    Resolving force vectors into components of a set of basis vectors is often a more mathematically clean way to describe forces than using magnitudes and directions. [30] This is because, for orthogonal components, the components of the vector sum are uniquely determined by the scalar addition of the components of the individual vectors.

  5. Free body diagram - Wikipedia

    en.wikipedia.org/wiki/Free_body_diagram

    Then the vector value of the resultant force would be determined by the missing edge of the polygon. [2] In the diagram, the forces P 1 to P 6 are applied to the point O. The polygon is constructed starting with P 1 and P 2 using the parallelogram of forces (vertex a). The process is repeated (adding P 3 yields the vertex b, etc.). The ...

  6. Rodrigues' rotation formula - Wikipedia

    en.wikipedia.org/wiki/Rodrigues'_rotation_formula

    Vector geometry of Rodrigues' rotation formula, as well as the decomposition into parallel and perpendicular components. Let k be a unit vector defining a rotation axis, and let v be any vector to rotate about k by angle θ ( right hand rule , anticlockwise in the figure), producing the rotated vector v rot {\displaystyle \mathbb {v} _{\text ...

  7. Today’s NYT ‘Strands’ Hints, Spangram and Answers for ...

    www.aol.com/today-nyt-strands-hints-spangram...

    According to the New York Times, here's exactly how to play Strands: Find theme words to fill the board. Theme words stay highlighted in blue when found.

  8. NYT ‘Connections’ Hints and Answers Today, Tuesday, December 10

    www.aol.com/nyt-connections-hints-answers-today...

    If you've been having trouble with any of the connections or words in Tuesday's puzzle, you're not alone and these hints should definitely help you out. Plus, I'll reveal the answers further down. ...

  9. Euclidean vector - Wikipedia

    en.wikipedia.org/wiki/Euclidean_vector

    By referring collectively to e 1, e 2, e 3 as the e basis and to n 1, n 2, n 3 as the n basis, the matrix containing all the c jk is known as the "transformation matrix from e to n", or the "rotation matrix from e to n" (because it can be imagined as the "rotation" of a vector from one basis to another), or the "direction cosine matrix from e ...

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