Are The Two Vectors Parallel, Orthogonal, or Neither?

This calculus 3 video tutorial explains how to determine if two vectors are parallel, orthogonal, or neither using the dot product and slope. 3D Coordinate System: https://www.youtube.com/watch?v=EzJP9uwV3ms 3D Distance Formula: https://www.youtube.com/watch?v=0c6cP2zLC2c Equation of a 3D Sphere: https://www.youtube.com/watch?v=9DyPyJb2N9g Calculus 3 - Intro to Vectors: https://www.youtube.com/watch?v=2_21erD-nBg Calculus 3 - The Dot Product: https://www.youtube.com/watch?v=Te8eL5r7aJs _______________________________ Angle Between Two Vectors: https://www.youtube.com/watch?v=dYPRYO8QhxU Parallel & Orthogonal Vectors: https://www.youtube.com/watch?v=8fIZ2v-33xw Direction Cosines and Vectors: https://www.youtube.com/watch?v=ZoCxUV893fo Calculus 3 - Vector Projections: https://www.youtube.com/watch?v=Rw70zkvqEiE Cross Product of 2 Vectors: https://www.youtube.com/watch?v=pWbOisq1MJU _______________________________ Area - Vector Cross Product: https://www.youtube.com/watch?v=YbZmAqGUkqc Triple Scalar Product: https://www.youtube.com/watch?v=6NeAK0rJwlk Vector Equations of Lines: https://www.youtube.com/watch?v=MkjazYnvNP8 The Equation of a Plane: https://www.youtube.com/watch?v=2sZKZHyaQJ8 Planar Equation - 3 Points: https://www.youtube.com/watch?v=rL9UXzZYYo4 ________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections Vectors - Free Formula Sheet: https://bit.ly/3WYIGOv