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  2. Quaternions and spatial rotation - Wikipedia

    en.wikipedia.org/wiki/Quaternions_and_spatial...

    3D visualization of a sphere and a rotation about an Euler axis (^) by an angle of In 3-dimensional space, according to Euler's rotation theorem, any rotation or sequence of rotations of a rigid body or coordinate system about a fixed point is equivalent to a single rotation by a given angle about a fixed axis (called the Euler axis) that runs through the fixed point. [6]

  3. The Purdue Spatial Visualization Test-Visualization of Rotations (PSVT:R) is a test of spatial visualization ability published by Roland B. Guay in 1977. [1] Many modifications of the test exist. The test consists of thirty questions of increasing difficulty, the standard time limit is 20 minutes.

  4. Conversion between quaternions and Euler angles - Wikipedia

    en.wikipedia.org/wiki/Conversion_between...

    z-y′-x″ sequence (intrinsic rotations; N coincides with y’). The angle rotation sequence is ψ, θ, φ. Note that in this case ψ > 90° and θ is a negative angle. Similarly for Euler angles, we use the Tait Bryan angles (in terms of flight dynamics): Heading – : rotation about the Z-axis

  5. Worksheet - Wikipedia

    en.wikipedia.org/wiki/Worksheet

    The form comes with two worksheets, one to calculate exemptions, and another to calculate the effects of other income (second job, spouse's job). The bottom number in each worksheet is used to fill out two if the lines in the main W4 form. The main form is filed with the employer, and the worksheets are discarded or held by the employee.

  6. Rejoice! See the “Bridgerton” cast reunite for season 4 table ...

    www.aol.com/rejoice-see-bridgerton-cast-reunite...

    Related: A guide to the Bridgerton cast, from seasons 1 to 3 Thompson wasn’t the only Bridgerton present at the read, either. Another image showed Lady Violet Bridgerton herself, Ruth Gemmell ...

  7. Rotation of axes in two dimensions - Wikipedia

    en.wikipedia.org/wiki/Rotation_of_axes_in_two...

    In mathematics, a rotation of axes in two dimensions is a mapping from an xy-Cartesian coordinate system to an x′y′-Cartesian coordinate system in which the origin is kept fixed and the x′ and y′ axes are obtained by rotating the x and y axes counterclockwise through an angle .

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