Lecture 01 Scalars And Vectors Module Version Pdf Euclidean This document introduces vectors and scalars, and provides methods for adding and subtracting vectors including: 1) the tail to head method of drawing one vector's tail at the other's head to obtain the resultant vector. 2) the parallelogram rule forms a parallelogram from the vectors and takes the resultant as the diagonal. Scalar addition, subtraction, division, multiplication are defined by the algebra of the real numbers representing the scalars. but scalars are not enough if a physical observable has magnitude and direction. a vector is a quantity that has both magnitude (i.e. length) and direction. an "arrow" in space. need a reference frame (coordinate system).
Vectors Scalars Ppt Download Free Pdf Euclidean Vector Lecture module objectives at the end of this module, the students are expected to: differentiate vectors quantities from scalar quantities identify the magnitude and direction of the vector identify the different properties of vector algebra, particularly the properties that can be used to add or subtract vectors familiarize with the unit. Scalar products of vectors define other fundamental scalar physical quantities, such as energy. in introductory physics, vectors are euclidean quantities that have geometric representations as arrows in one dimension (in a line), in two dimensions (in a plane), or in three dimensions (in space). they can be added, subtracted or multiplied. Chapter one vector geometry 1.1 introduction in this chapter vectors are first introduced as geometric objects, namely as directed line segments, or arrows. the operations of addition, subtraction, and multiplication by a scalar (real number) are defined for these directed line segments. Throughout this series of physics, we make the following definitions regarding vectors and scalars; a scalar is a quantity with magnitude only; a vector is a quantity with magnitude and direction. some examples of scalars are; mass, time, distance, speed, area, volume.
Chapter 1 Scalars And Vectors Pdf Chapter one vector geometry 1.1 introduction in this chapter vectors are first introduced as geometric objects, namely as directed line segments, or arrows. the operations of addition, subtraction, and multiplication by a scalar (real number) are defined for these directed line segments. Throughout this series of physics, we make the following definitions regarding vectors and scalars; a scalar is a quantity with magnitude only; a vector is a quantity with magnitude and direction. some examples of scalars are; mass, time, distance, speed, area, volume. Multiplication of a vector by a scalar quantity results in a vector whose magnitude is that of the original vector multiplied by the scalar and whose direction is that of the original vector or reversed if the scalar is negative. Using the two basic operations on vectors, we can combine vectors (from the same euclidean space) in a natural way: definition(linear combination) let#»v1,#»v2, . . . ,#» vk bekvectors fromrn . a sum of the form c1#»v1 c2#»v2 · · · ck#» v k withc1, c2 , . . . , ck ∈ris called alinear combinationof the vectors #»v1,#»v2. Mansehra 8 representation of a vector and a scalar vector representation • a vector quantity is represented by either: end point (a) • a letter with an arrow on its top, such as a or b, 𝑅= 𝑂𝐴 • a letter in boldface type such as a and b, or • a straight line with an arrowhead starting point (o) • length of the line represents. Properties of vector algebra in
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