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Work as the dot product is defined. The dot product using unit vectors is reviewed. Several examples are worked through. Want Lecture Notes? http://www.flippingphysics.com/work-d... This is an AP Physics C: Mechanics topic. Next Video: Integral Introduction via Work http://www.flippingphysics.com/integr... Previous Video: Introductory Work Problem https://www.flippingphysics.com/work-... Thank you to Mrs. Zeiler and the rest of my wonderful Patreon supporters. Please consider supporting me monthly at / flippingphysics Thank you to John Paul Nichols, Julie Langenbrunner, Scott Carter, Lon Cherryholmes, and Scott Carter for being my Quality Control Team for this video. http://flippingphysics.com/quality-co... Content Times: 0:00 Non-Dot Product Work 1:13 Reviewing the Dot Product 3:26 Dot Product Review Example 6:48 Dot Product Work Example 8:46 Work on Shopping Cart - Force Applied 11:11 Work on Shopping Cart - Other Forces 13:54 Net Work on Shopping Cart #APPhysicsC #Work #dotproduct Correction: 8:03 I accidentally switched the order of the force and r-position vectors in the dot product. This means I switched which vectors have components of zero in the j and k directions. The force vector has no component in the j direction. The r-position vector has no component in the k direction. Sorry about that!!