Practice 1-A problems for Calculus 3 (Fall 2025) --- Coordinate systems and vectors

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A set of problems that cover material from the first week of the first block for Calculus 3 (e.g. coordinate systems and vectors).

For more information, including scanned copies of the material: https://www.calc3.org/
Presenter: Steve Butler (https://www.stevebutler.org/)

0:00 Intro
0:40 1-Make three points collinear
9:24 2-Rewrite plane using spherical coordinates
15:43 3-Minimum distance between spheres
27:10 4-Identify sphere in spherical coordinates
34:11 5-Axis of circular cylinder
43:24 6-Find volume between two spheres
54:28 7-Find unit vector
1:05:13 8-Volume of solid in cylindrical coordinates
1:17:51 9-Find linear combination of vectors
1:29:05 10-Find point nearest to a line

Видео Practice 1-A problems for Calculus 3 (Fall 2025) --- Coordinate systems and vectors канала Beard Meets Calculus