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How do I set up a sphere equation if only known that the center lies on a line passing through points A and B, point P lies on the sphere, and the radius is r?
To set up a sphere equation given the information that the center lies on a line passing through points A and B, point P lies on the sphere, and the radius is r, you can first find the equation of the line passing through points A and B. Then, find the midpoint of segment AB, which will be the center of the sphere. Next, use the distance formula to find the distance between the center and point P, which will be the radius r. Finally, plug the center coordinates and radius r into the standard equation of a sphere, (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2, where (h, k, l) are the coordinates of the center. **
How do I set up a sphere equation if the only known information is that the center lies on a line with points A and B, the point P lies on the sphere, and the radius is r?
To set up the equation of a sphere with the given information, you can first find the center of the sphere by finding the midpoint of the line segment AB. Then, you can use the distance formula to find the distance between the center and point P, and set it equal to the radius r. This will give you the equation of the sphere in the form (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2, where (h, k, l) is the center of the sphere. **
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How do I set up a sphere equation if only known that the center lies on a line passing through points A and B, point P lies on the sphere, and the radius is r?
To set up a sphere equation given the information that the center lies on a line passing through points A and B, point P lies on the sphere, and the radius is r, you can first find the equation of the line passing through points A and B. Then, find the midpoint of segment AB, which will be the center of the sphere. Next, use the distance formula to find the distance between the center and point P, which will be the radius r. Finally, plug the center coordinates and radius r into the standard equation of a sphere, (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2, where (h, k, l) are the coordinates of the center. **
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How do I set up a sphere equation if the only known information is that the center lies on a line with points A and B, the point P lies on the sphere, and the radius is r?
To set up the equation of a sphere with the given information, you can first find the center of the sphere by finding the midpoint of the line segment AB. Then, you can use the distance formula to find the distance between the center and point P, and set it equal to the radius r. This will give you the equation of the sphere in the form (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2, where (h, k, l) is the center of the sphere. **
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Uplifted Finds Rainbow Metal Fidget Spinner Colorful High Speed Hand Toy pFeel stress melt away with this Rainbow Metal Fidget Spinner. Crafted from durable metal with a vibrant finish, it spins smoothly and silently for minutes. The compact, ergonomic design fits easily in your hand or pocket perfect for adults or kids...62,97 $*Shipping: 0,00 $Secure redirect to the provider
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