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Dot product of of quaternion-rotated vectors

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#rotations #quaternions
374
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How to transform (rotate) this hyperbola?

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#matrices #geometry #analytic-geometry #transformation #rotations
118
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Number of components needed for 3D rotation

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#matrices #geometry #3d #rotations
152
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Is seven-dimensional cross product rotationally invariant?

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#rotations #cross-product #invariance #octonions
2.3k
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Get the camera transformation matrix (Camera pose, not view matrix)

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#linear-algebra #matrices #3d #rotations #linear-transformations
72
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Finding the volume formed by rotating $y=x(1-x)$ about the $x$-axis

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#calculus #volume #rotations
1.4k
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Area of overlapping squares

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#geometry #rotations #area #rectangles
11.1k
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Decompose 3D rotation matrix into rotation around x, y and z-axis

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#rotations #matrix-decomposition
1.1k
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$45^\circ$ Rubik's Cube: proving $\arccos ( \frac{\sqrt{2}}{2} - \frac{1}{4} )$ is an irrational angle?

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#rotations #irrational-numbers #rubiks-cube
1.9k
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How to find the shift that minimizes the difference between two vectors?

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#optimization #vectors #rotations
636
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Skew-symmetric matrix property

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#linear-algebra #matrices #rotations #skew-symmetric-matrices
118
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Identity component of SO(2,1)

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#lie-groups #rotations
481
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Scalar triple product of quaternion scalar parts

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#vectors #inner-products #rotations #quaternions #cross-product
360
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Matrix exponential of the sum of two skew-symmetric matrices

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#matrices #rotations #matrix-exponential #kinematics #skew-symmetric-matrices
6k
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why is representing rotations through quaternions more compact and quicker than using matrices??

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#matrices #rotations #quaternions

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