Rotate a cylinder to allign axis

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To align a cylinder with the global axes, the declination angle must be calculated using the formula DECangle=atan((z2-z1) / sqrt((x2-x1)^2 + (y2-y1)^2)). The coordinates of the cylinder's center points must be in the same coordinate system for accurate calculations. The cylinder's inclination with respect to the X, Y, and Z axes can be determined by finding the angles theta1, theta2, and theta3. These angles correspond to the direction cosines derived from a unit vector in the direction of the cylinder's axis. Proper calculation of these angles ensures correct alignment with the global coordinate system.
johnfriend
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Hi i have cylinder geometry . bottom (cross section)circle centre point is x1, y1, z1 and top is x2, yz, z2. cylinder centre axis is not allign with any (Global x,y,z) axis. if i want to align a cylinder with Global axis(x,y,z), what is angle need to rotated with respect to x ,y ,z (Global )axis.
 
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Declination angle is what you are looking for. The difference between the center will give the spatial coordinates. The (x,y,z), (x1,y1,z1) and (x2,y2,z2) must all be of the same coordinate system or conversion is necessary. Here is the equation for Declination:

DECangle=atan((z2-z1) / sqrt((x2-x1)^2 + (y2-y1)^2))
 
cylinder model declinde with all three (cartesian)axis. it's declined with theta1 axis with respect to X, theta2 axis with respect to Y and theta3 axis with respect to Z.how to calculate that?
 
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find inclined angle of cylinder?

cylinder model Inclined with all three (x,y,z-cartesian)axis. it's Inclined with theta1 axis with respect to X, theta2 axis with respect to Y and theta3 axis with respect to Z.how to calculate theta1,theta2,theta3?
 
Which axis is the cylinder pointing?
 


If you have a vector in the direction of the cylinder axis, a unit vector in that direction has the direction cosines for its components. They are the cosines of your angles.
 
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