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Vector Algebra
Storyboard 
Many of the variables used in physics are described by vectors. This is because we live in a three-dimensional world so positions and directions have to be described by more than one parameter.
As the variables are used in equations, it is necessary to know how to work with entities as vectors both in the formulation and manipulation of these. This is called vector algebra.
ID:(1257, 0)
Vector Algebra
Storyboard
Many of the variables used in physics are described by vectors. This is because we live in a three-dimensional world so positions and directions have to be described by more than one parameter.\\nAs the variables are used in equations, it is necessary to know how to work with entities as vectors both in the formulation and manipulation of these. This is called vector algebra.
Variables
Calculations
to 
,
then, select the variable: 
to 
Calculations
Variable
Given
Calculate
Target :
Equation
To be used
Equations
Examples
La suma de dos vectores
La primera componente de la resta del vector $\vec{b}=(b_1,b_2,b_3)$ de $\vec{a}=(a_1,a_2,a_3)$ es
$c_1=a_1+b_1$
La multiplicaci n de un vector
Un Versor es un Vector de largo unitario. Se le puede calcular de cualquier vector simplemente dividiendo dicho vector por la magnitud de este.
Para diferenciar los versores de los vectores generales no se les dibuja una flecha si no que un tipo de gorro.
Por ello el versor $\hat{a}=(\hat{a}_x,\hat{a}_y,\hat{a}_z)$ calculado del vector $\vec{a}=(a_x,a_y,a_z)$ como:
donde el modulo del vector esta definido en dos dimensiones por
y en tres dimensiones por
El largo del vector
b_1=-a_2
ID:(1257, 0)