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Unit vectors are vectors that have a magnitude of 1 and have no units. These vectors are used to describe a direction in space. To find the unit vector of a vector, we divide each component by its magnitude. In this article, we will learn how to calculate unit vectors of vectors.
Vector Practice. 1. Draw the components of each vector in the following diagrams. Then calculate the length of each component. 5. If I walk 20 miles North, then 15 miles East, then 10 miles at 35° South of East, What distance have I traveled? What is my displacement? If I travel the entire distance in 4 hours, then what is my average velocity?
A unit vector is a dimensionless vector one unit in length used only to specify a given direction. Unit vectors have no other physical significance. In Physics 2110 and 2120 we will use the symbols i, j, and k (if there is a third dimension, i.e a “z” direction), although in many texts the symbols x^, y^, and z^ are often used.
Coulomb's Law Problems and Solutions. The force exerted by a point charge q1 on another point charge q2 located at a distance r away is given by the following formula ⃗F |q1q2| = k ˆr r2 where ˆr is a unit vector points from q1 toward q2. Note that Coulomb’s law gets only the magnitude of the electric force between two point charges.
A c D E distance time speed energy weight An object starts from rest and accelerates in a straight line. The graph shows how the acceleration of the object varies with time. time/s 4 The speed of the object at 5 seconds is acceleration/m s- 4-0. A c D E 2m s 8m s 12 ms 16m s 20 ms . (a) State the difference between speed and velocity.
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 ...
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 ...
