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Vectors enter physics in two distinct forms. (1) Vector A may represent a single force acting at a single point. The force of gravity acting at the center of gravity illustrates this form. (2) Vector A may be defined over some extended region; that is, A and its compo-nents may be functions of position: Ax = Ax(x,y,z),and so on. Examples of ...
This comprehensive, extensively classroom-tested biophysics textbook is a complete introduction to the physics underlying biological processes and their applications to the life sciences and medicine, providing a holistic view of the interconnections between physics and biology.
We can add vectors in any order we want: A+B = B+A. We say that vector addition is “commutative”. We express vectors in component form using the unit vectors i, j and k, which each have magnitude 1 and point along the x, y and z axes of the coordinate system, respectively.
these units can be used to describe other physical quantities such as velocity (m/s), and acceleration (m/s2). Sometimes the string of units gets to be so long that we contract them into a new unit called a derived unit. For example, A unit of force has base units of kg m s2! newton or N where the newton (N) is a derived unit. 3.1 Physical ...
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 ...
Unit vectors. Position, Displacement, Velocity, and Acceleration Vectors. Relative Motion. Scalar: number with units. Vector: quantity with magnitude and direction. How to get to the library: need to know how far and which way. 0.5 mi northwest.
Biomechanical parameters can be represented as either scalar or vector quantities. A scalar is simply represented by its magnitude. Mass, time, and length are examples of scalar quantities. A vector is generally described as having both magnitude and orientation.
