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  2. Rotation matrix - Wikipedia

    en.wikipedia.org/wiki/Rotation_matrix

    Every rotation in three dimensions is defined by its axis (a vector along this axis is unchanged by the rotation), and its angle — the amount of rotation about that axis (Euler rotation theorem). There are several methods to compute the axis and angle from a rotation matrix (see also axis–angle representation ).

  3. Axis–angle representation - Wikipedia

    en.wikipedia.org/wiki/Axis–angle_representation

    The angle θ and axis unit vector e define a rotation, concisely represented by the rotation vector θe.. In mathematics, the axis–angle representation parameterizes a rotation in a three-dimensional Euclidean space by two quantities: a unit vector e indicating the direction of an axis of rotation, and an angle of rotation θ describing the magnitude and sense (e.g., clockwise) of the ...

  4. 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 .

  5. 18-year-old charged with fatally shooting man during ...

    www.aol.com/18-old-charged-fatally-shooting...

    An 18-year-old was arrested in connection to the fatal shooting of a man last month who was reportedly trying to sell his PlayStation 5. On Nov. 24, officers with the Houston Police Department ...

  6. Rotation formalisms in three dimensions - Wikipedia

    en.wikipedia.org/wiki/Rotation_formalisms_in...

    The most external matrix rotates the other two, leaving the second rotation matrix over the line of nodes, and the third one in a frame comoving with the body. There are 3 × 3 × 3 = 27 possible combinations of three basic rotations but only 3 × 2 × 2 = 12 of them can be used for representing arbitrary 3D rotations as Euler angles. These 12 ...

  7. Busy Bucknell faces latest tough opponent in No. 13 Gonzaga - AOL

    www.aol.com/busy-bucknell-faces-latest-tough...

    The Bulldogs (8-3) overcame last Saturday's 77-71 defeat to No. 18 UConn in New York by returning home and defeating Nicholls 102-72 Wednesday. Braden Huff came off the bench to score 25 points ...

  8. Packers lose Jordan Love, Christian Watson to injury, fall to ...

    www.aol.com/packers-qb-jordan-love-leaves...

    WillIs remained in the game as a Packers rally from a 14-3 deficit fell short. Love warmed up and threw the ball on the sideline in the second half, but never re-entered the game. Watson left with ...

  9. Cartesian coordinate system - Wikipedia

    en.wikipedia.org/wiki/Cartesian_coordinate_system

    The orientation is usually chosen so that the 90-degree angle from the first axis to the second axis looks counter-clockwise when seen from the point (0, 0, 1); a convention that is commonly called the right-hand rule. The coordinate surfaces of the Cartesian coordinates (x, y, z). The z-axis is vertical and the x-axis is