{"id":372,"date":"2023-11-21T20:54:54","date_gmt":"2023-11-21T20:54:54","guid":{"rendered":"https:\/\/staff.kellogg.edu\/coxaanna\/?page_id=372"},"modified":"2026-01-08T17:12:36","modified_gmt":"2026-01-08T17:12:36","slug":"math-241-calculus-3-chapter-12","status":"publish","type":"page","link":"https:\/\/staff.kellogg.edu\/coxaanna\/math-241-calculus-3-chapter-12\/","title":{"rendered":"Math 241 Calculus 3 Chapter 12"},"content":{"rendered":"\n

Section 1\u00a0Three-Dimensional Coordinate System<\/a>\u00a0
worksheet\u00a0<\/a> – Three-Dimensional Coordinate System<\/a><\/p>\n\n\n\n

Section 2\u00a0Vectors<\/a>
worksheet<\/a> – Vectors<\/a><\/p>\n\n\n\n

Section 3\u00a0The Dot Product<\/a>
worksheet<\/a> – The Dot Product<\/a><\/p>\n\n\n\n

Section 4\u00a0The Cross Product<\/a>
worksheet<\/a> – The Cross Product<\/a><\/p>\n\n\n\n

Section 5 Lines and Planes in Space<\/a><\/p>\n\n\n\n

Worksheet<\/a> – Lines and Planes in Space<\/a><\/p>\n\n\n\n

another video that is older :  Lines and Planes in Space<\/a><\/p>\n\n\n\n

Section 6 Cylinders and Quadric Surfaces<\/a><\/p>\n\n\n\n

worksheet<\/a> – Cylinders and Quadric Surfaces<\/a><\/p>\n\n\n\n

Homework:<\/p>\n\n\n\n

12.1      1, 3, 7, 11, 13, 19, 21, 25, 27, 29, 37, 39, 43, 45, 47, 51, 53, 55, 5712.2      1, 5, 9, 11, 13, 15, 19 – 43(odds)
12.3      1 – 13 (odds), 14, 15, 18, 21, 23
12.4      1 – 25 (odds), 35, 37, 41 – 47 (odds)
12.5      1 – 57 every other odd
12.6       1-12 all, 15, 19, 21, 23, 27, 29, 31 (you should be able to do 33-44 all but they are not assigned)<\/p>\n\n\n\n

Return to Anna’s MATH 241 page<\/a><\/p>\n\n\n\n

Return to Anna’s home page<\/a><\/p>\n\n\n\n

Return to Kellogg Community College<\/a><\/em><\/p>\n\n\n\n


12-1-13 intersection of a cylinder and a plane<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

12-1-43 intersection of a sphere and a plane<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

12-3-14 diagonals of a rectangle<\/em><\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

12-3-15<\/em> direction cosines of v<\/em><\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

12-3-20<\/em> orthogonal vectors<\/em><\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

12-3-23 diagonals are equal for a rectangle<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

12-5-33 distance of a point to a line<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

12.5.41 distance between a point and a plane<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

12.5.49 acute angle between two intersecting lines<\/a> (15th<\/sup> Edition)<\/p>\n","protected":false},"excerpt":{"rendered":"

Section 1\u00a0Three-Dimensional Coordinate System\u00a0worksheet\u00a0 – Three-Dimensional Coordinate System Section 2\u00a0Vectorsworksheet – Vectors Section 3\u00a0The Dot Productworksheet – The Dot Product Section 4\u00a0The Cross Productworksheet – The Cross Product Section 5 Lines and Planes in Space Worksheet – Lines and Planes in Space another video that is older :  Lines and Planes in Space Section 6 Cylinders and Quadric… Continue reading Math 241 Calculus 3 Chapter 12<\/span><\/a><\/p>\n","protected":false},"author":48,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ngg_post_thumbnail":0,"footnotes":""},"class_list":["post-372","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/372"}],"collection":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/users\/48"}],"replies":[{"embeddable":true,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/comments?post=372"}],"version-history":[{"count":6,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/372\/revisions"}],"predecessor-version":[{"id":1044,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/372\/revisions\/1044"}],"wp:attachment":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/media?parent=372"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}