{"id":536,"date":"2025-10-09T15:18:30","date_gmt":"2025-10-09T15:18:30","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/calculus3\/?post_type=chapter&#038;p=536"},"modified":"2025-11-17T17:31:47","modified_gmt":"2025-11-17T17:31:47","slug":"advanced-vector-operations-and-applications-get-stronger","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/advanced-vector-operations-and-applications-get-stronger\/","title":{"raw":"Advanced Vector Operations and Applications: Get Stronger","rendered":"Advanced Vector Operations and Applications: Get Stronger"},"content":{"raw":"<h2>Cross Product and Applications<\/h2>\r\nThe problem set can be found using the <a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Calculus+3\/Problem+Sets\/Module+2\/The+Cross+Product.pdf\">Problem Set: Cross Product and Applications<\/a> link. This link will open a PDF containing the problems for this section.\r\n<h2>Lines and Planes in Space<\/h2>\r\nThe problem set can be found using the <a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Calculus+3\/Problem+Sets\/Module+2\/Equations+of+Lines+and+Planes+in+Space.pdf\">Problem Set: Lines and Planes in Space<\/a> link. This link will open a PDF containing the problems for this section.\r\n<h2>Alternative Coordinate Systems and Surfaces<\/h2>\r\nThe problem sets can be found using the <a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Calculus+3\/Problem+Sets\/Module+2\/Quadric+Surfaces.pdf\">Problem Set: Quadric Surfaces<\/a> link and the <a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Calculus+3\/Problem+Sets\/Module+2\/Cylindrical+and+Spherical+Coordinates.pdf\">Problem Set: Cylindrical and Spherical Coordinates<\/a> link. These links will open a PDF containing the problems for this section.","rendered":"<h2>Cross Product and Applications<\/h2>\n<p>The problem set can be found using the <a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Calculus+3\/Problem+Sets\/Module+2\/The+Cross+Product.pdf\">Problem Set: Cross Product and Applications<\/a> link. This link will open a PDF containing the problems for this section.<\/p>\n<h2>Lines and Planes in Space<\/h2>\n<p>The problem set can be found using the <a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Calculus+3\/Problem+Sets\/Module+2\/Equations+of+Lines+and+Planes+in+Space.pdf\">Problem Set: Lines and Planes in Space<\/a> link. This link will open a PDF containing the problems for this section.<\/p>\n<h2>Alternative Coordinate Systems and Surfaces<\/h2>\n<p>The problem sets can be found using the <a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Calculus+3\/Problem+Sets\/Module+2\/Quadric+Surfaces.pdf\">Problem Set: Quadric Surfaces<\/a> link and the <a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Calculus+3\/Problem+Sets\/Module+2\/Cylindrical+and+Spherical+Coordinates.pdf\">Problem Set: Cylindrical and Spherical Coordinates<\/a> link. These links will open a PDF containing the problems for this section.<\/p>\n","protected":false},"author":15,"menu_order":24,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-536","chapter","type-chapter","status-publish","hentry"],"part":422,"module-header":"practice","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/536","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/users\/15"}],"version-history":[{"count":4,"href":"https:\/\/content.one.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/536\/revisions"}],"predecessor-version":[{"id":2323,"href":"https:\/\/content.one.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/536\/revisions\/2323"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/parts\/422"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/536\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/media?parent=536"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapter-type?post=536"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/contributor?post=536"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/license?post=536"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}