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  1. 1.2 SCALARS AND VECTORS. Some physical quantities such as length, area, volume and mass can be completely described by a single real number. Because these quantities are describable by giving only a magnitude, they are called scalars.

  2. Describe the difference between vector and scalar quantities. Identify the magnitude and direction of a vector. Explain the effect of multiplying a vector quantity by a scalar.

  3. Scalar and Vector Quantities. You will learn: The principles of scalar and vector quantities. Mathematical combinations of vector quantities. Unit vectors. Scalar Quantities: • A . SCALAR is a quantity of physics that has MAGNITUDE only, however, direction is not associated with it. Magnitude – A numerical value with units.

  4. 12 Ιαν 2024 · Describe the difference between vector and scalar quantities. Identify the magnitude and direction of a vector. Explain the effect of multiplying a vector quantity by a scalar. Describe how one-dimensional vector quantities are added or subtracted. Explain the geometric construction for the addition or subtraction of vectors in a plane.

  5. 2.1 Scalar Product. Scalar (or dot) product definition: a:b = jaj:jbj cos. ab cos. (write shorthand jaj = a ). Scalar product is the magnitude of a multiplied by the projection of b onto a. Obviously if a is perpendicular to b then a:b = 0. Also a:a = jaj2. p. (since =0 ) Hence a = (a:a) 2.1.1 Properties of scalar product.

  6. Describe the difference between vector and scalar quantities. Identify the magnitude and direction of a vector. Explain the effect of multiplying a vector quantity by a scalar. Describe how one-dimensional vector quantities are added or subtracted. Explain the geometric construction for the addition or subtraction of vectors in a plane.

  7. OUTLINE : 1. INTRODUCING VECTORS. 1.1 Scalars. 1.2 Vectors. 1.3 Unit vectors. 1.4 Vector algebra. 1.5 Simple examples. 1.1 Scalars. A scalar is a quantity with magnitude but no direction, any mathematical entity that can be represented by a number. Examples: Mass, temperature, energy, charge ...

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