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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.
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 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.
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.
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. i:i = j:j = k:k = 1 and i:j = j:k = k:i = 0.
A quantity that has both a magnitude and direction is called a vector. On the other hand, a quantity that has only a magnitude is called a scalar quantity. Vectors are represented in print as bold and italicised characters (for example F).
0.1 Vectors vs. Scalars. Instructor: Dr. Michelle Tomasik. Transcript. Download video. Download transcript. MIT OpenCourseWare is a web based publication of virtually all MIT course content. OCW is open and available to the world and is a permanent MIT activity.
