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20:45
YouTube
Prime Newtons
What Happens to (x,y) when the axes are rotated?
If you’ve ever wondered what happens to the (x,y) coordinates when the coordinate axes are rotated, this video gives you the big-picture view of that transformation. The key idea is simple: after a rotation, x and 𝑦 are no longer “pure.” Each new coordinate becomes a blend of the original x- and y-directions, and how much they mix ...
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Including results for
rotating functions around
axis
.
Do you want results only for
Rotating Functions around Axes
?
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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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