Discussing the derivation of the Dot Product for two vectors. Then I use the dot product in two examples to tell whether or not two vectors are orthogonal.
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Finding the Area of a Sector - Geometry
Finding Arc Length - Geometry
The Angle Between Two Vectors - PreCalculus
The Dot Product - PreCalculus
Applied Vector Operations - PreCalculus
Finding the Component Form and Direction of Vectors - PreCalculus
Vectors in the Coordinate Plane (Component Form and Magnitude) - PreCalculus
General Form Equation to Standard Form Equation of a Circle - Geometry
Writing the Equation of a Circle Given the Center and a Point on the Circle - Geometry
The Standard Form Equation of a Circle - Geometry
Inscribed Polygon Theorems - Geometry
Using the Resultant Vector - PreCalculus
The Horizontal and Vertical Components of a Vector - PreCalculus
Proof of the Measure of an Inscribed Angle Theorem - Geometry
Using the External Tangents Congruent Theorem - Geometry
Minor and Major Arcs - Geometry
Using the Tangent Line to Circle Theorem - Geometry
The Properties of Kites - Geometry
The Trapezoid Midsegment Theorem - Geometry
The Properties of Trapezoids - Geometry
Using the Sum-to-Product Trigonometric Identities - PreCalculus
Using the Product-to-Sum Trigonometric Identities - PreCalculus
Using the Half-Angle Trigonometric Identities - PreCalculus
Using the Power-Reducing Identity to Solve a Trigonometric Equation - PreCalculus