'Scalar products' presentation slideshows

1 3 .1 Concepts of Vectors and Scalars

1 3. Vectors in Two-dimensional Space. Case Study. 1 3 .1 Concepts of Vectors and Scalars. 1 3 .2 Operations and Properties of Vectors. 1 3 .3 Vectors in the Rectangular Coordinate System. 1 3 .4 Applications of Vectors. 1 3 .5 Scalar Products. 1 3 . 6 Applications of Scalar Products.

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Unit 3: Matrices

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Phy 211: General Physics I

Phy 211: General Physics I. Chapter 7: Kinetic Energy & Work Lecture Notes. What is Energy?. Energy is a scalar quantity associated with the state of an object (or system of objects).

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Phy 211: General Physics I

Phy 211: General Physics I. Chapter 3: Vectors Lecture Notes. Vectors & Scalars. Most physical quantities can categorized as one of 2 types (tensors notwithstanding): Scalar Quantities: described by a single number & a unit (s). Example: the length of the driveway is 3.5 m

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Matrices

Matrices. A matrix is a rectangular array of quantities (numbers, expressions or function), arranged in m rows and n columns. 3 1 1 -2 -2 3 0. 2x 3y 4z. 5 -2 1. a11 a12 a13 a21 a22 a23 a31 a32 a33. 0 0 0 1 0 0 0 1. Special Matrices. Identity matrix. m = n Square matrix.

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Phy 212: General Physics II

Phy 212: General Physics II. Chapter : Topic Lecture Notes. The Scalar (Dot) Product. Two vectors can be multiplied to product a scalar resultant, called the scalar (or Dot) product. When using the magnitudes of the vectors:

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