This course aims to teach students about points in 3-dimensional space, equations of spheres, unit vectors, parallel vectors, Cartesian components of vectors, tension in cables, dot product of vectors, angle between vectors, and planes in 3D space. The teaching method includes explanations, examples, and problem-solving. This course is intended for learners interested in advancing their understanding of vectors and their applications in 3-dimensional space.
Overview
Syllabus
Introduction to Points in 3 Dimensional Space.
Distance Formula and Equation of a Sphere in 3D With Examples.
Distance from a Point to the y-axis in 3D Space..
Find a Unit Vector in the Same Direction as the Given Vector.
Are the two Vectors Parallel? :: How to Determine if Vectors are Parallel.
Magnitude and Angle of the Resultant Force :: Cartesian Components of Vectors.
Find the Tension in Cables Attached to a Hanging Mass:: Vectors :: Static Equillibrium.
Dot Product of Two Vectors.
How to Find the Angle Between Two Vectors :: Why Cosine and Dot Product Explained.
Find Unit Vector Perpendicular to Two Vectors :: Using Dot Product!.
Find Force Needed to Supply 100 Nm of Torque.
Angle Between two Intersecting Lines :: 3D Vectors :: First Show Intersection.
Planes Parallel, Orthogonal, or Neither, Angle Between Planes Approach.
Acute Angle Between a Line and a Plane.
Taught by
Jonathan Walters
