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Calculus Integrals
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JoAnn's School
8th Grade Math 9.3a, Exploring Rotations
A rotation is a transformation that turns a figure around a given point called the center of rotation. The image will have the same size and shape as the preimage, but its orientation will change. The center of rotation can be within the figure, on the edge of a figure, or away from the figure. When we rotate a figure clockwise, we use positive ...
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In 3D, rotation matrices are used to rotate objects around the x, y, or z axes. Each axis has its own specific rotation matrix. For example, rotating around the z-axis uses a matrix that leaves the z-coordinate unchanged but rotates the x and y coordinates, effectively spinning the object in the xy-plane. Similarly, rotating around the x-axis affects the y and z values, while rotating around the y-axis affects the x and z values. These 3x3 matrices are always orthogonal, meaning their rows and c
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