Trigonometry Series - Concepts and Formulas™
Vectors (TRG-CF8)

This sheet provides a comprehensive review of all of the most important topics, concepts and formulas fully covering vectors. Each concept is explained in detail, with detailed illustrations. Unlike charts and notes, this Concepts and Formulas™ sheet answers questions about how to use the concepts - how to actually solve problems with them, it doesn't just list facts and formulas.

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Topics Covered:

• Scalar and Vector quantities
• Equal, Opposite and Negative vectors
• Position vectors
• Displacements of vectors
• Rectangular components of vectors
• Magnitude of a vector
• Scalar multiplication of vectors
• The Zero vector
• Addition and Subtraction of vectors
• Combination properties
• Additive identity and inverse
• Unit vectors
• Unit Basis vectors
• Directions Angles
• Methods of Combining vectors
• Resultant vectors
• The Triangle Method
• The Parallelogram Law
• Geometric combination of vectors
• Algebraic combination of vectors
• Equilibrium of vectors
• The Equilibrant vector
• The Polygon Method
• The Dot Product