**Problems Plus 6: Largest Sphere in a Sphere**https://youtu.be/uefSE-rXFw4

In this video I find the largest sphere that passes through a given point while every point inside is also inside a larger sphere.

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Math Easy Solutions

Oct 08, 2024 03:49 am

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In this video I find the largest sphere that passes through a given point while every point inside is also inside a larger sphere.

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Math Easy Solutions

Oct 07, 2024 03:43 am

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In this video I find the sum of an infinite series of consecutive magnitudes of vector projections and show it turns out to be just a geometric series.

Math Easy Solutions

Oct 05, 2024 03:46 am

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Problems Plus 3: Line and Surface of Two Intersecting Planes https://youtu.be/jj3wYCYhhq8

In this video I determine the symmetric equations of a line at the intersection of two planes. I then find out that when the equations of the plane vary, the line sweeps out a circular hyperboloid of one sheet. Finally, I calculate the volume of this surface between two planes.

In this video I determine the symmetric equations of a line at the intersection of two planes. I then find out that when the equations of the plane vary, the line sweeps out a circular hyperboloid of one sheet. Finally, I calculate the volume of this surface between two planes.

Math Easy Solutions

Jul 15, 2024 04:59 pm

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Determining if 3 Points Lie on the Same Line Using the Cross Product https://youtu.be/S1khfWCF1u4

In this video I go over a method for determining if 3 points lie on the same line by using the cross product of any 2 position vectors formed from the points. If the cross product is zero then the points all lie on the same line.

In this video I go over a method for determining if 3 points lie on the same line by using the cross product of any 2 position vectors formed from the points. If the cross product is zero then the points all lie on the same line.

Math Easy Solutions

Jul 12, 2024 07:15 pm

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Determining Parallel and Perpendicular Vectors and Planes via the Cross and Dot Products https://youtu.be/_MHe1u2tqv8

In this video I review how to determine whether two vectors or planes are parallel or perpendicular. Two vectors are parallel of their cross product is zero, and are perpendicular if their dot product is zero. The angle between two planes can be determining the angle between their normal vectors: if the angle is zero then the planes are parallel.

In this video I review how to determine whether two vectors or planes are parallel or perpendicular. Two vectors are parallel of their cross product is zero, and are perpendicular if their dot product is zero. The angle between two planes can be determining the angle between their normal vectors: if the angle is zero then the planes are parallel.

Math Easy Solutions

Jul 12, 2024 04:23 am

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Vector and Scalar Equations of a Plane https://youtu.be/DuSUIKAavcw

In this video I review the vector and scalar equations of a plane. The vector equation is the dot product of the normal vector with the position vector of any two points on the plane. The scalar equation is the same as the vector equation except the dot product is evaluated, which produces a scalar (or number).

In this video I review the vector and scalar equations of a plane. The vector equation is the dot product of the normal vector with the position vector of any two points on the plane. The scalar equation is the same as the vector equation except the dot product is evaluated, which produces a scalar (or number).

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