Vectors

Physics · Chapter 3 · Units 1-3: Physical World and Measurement; Kinematics; Laws of Motion

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Scalars and vectors; position and displacement vectors; equality of vectors; null and coplanar vectors
Unit vectors i, j, k; vectors written as a i + b j + c k; multiplication of a vector by a real number
Addition and subtraction: triangle and parallelogram laws; magnitude and direction of the resultant; special cases
Resolution of a vector; rectangular components and their relation to the resultant
Scalar (dot) product a.b = ab cos(theta), e.g. work W = F.S; vector (cross) product a x b = ab sin(theta) n, e.g. torque = r x F