Summary
Sumario Vectores
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GEOMETRÍA DEL ESPACIOVECTOR FIJO: es un segmento orientado CARACTERISTICAS DE UN VECTOR
determinado por una par de puntos A origen MODULO:i longitud del segmento orientado (siempre es positivo,
y B extremo. salvo el vector nulo, cuyo modulo es 0) ITI
B DIRECCION direccion de la recta que contiene al vector
SENTIDO: forma de recorrer el segmento, de A a B o de B a A.
A
CORRESPONDENCIAS ENTRE PUNTOS Y VECTORES
Dos vectores fijos son equipolentes si tienen el A cada vector AB, equipolente a OP se le asocia el punto P
mismo modulo, la misma direccion y el mismo A cada punto P se le asocia el vector OP
sentido. Se llama. VECTOR LIBRE a un vector
y a todos los que son equipolentes a el.. P
A
https://marielmatesblog.wordpress.com/
1
1
1 0
CO
¡¡CUIDADO!!
Misma notación para punto (a1,a2,a3) y para
vector (a1,a2,a3).
ATENCIÓN AL CONTEXTO
OPERACIONES CON VECTORES
SUMA PRODUCTO DE UN Nº POR UN VECTOR VECTOR AB
⃗u + v= u1 + v1 , u2 + v2 , u3 + v3 k· v= kv1 , kv2 , kv3 A(a1 , a2 , a3) y B(b1 , b2 , b3):
vector AB=(b1 -a1 , b2 -a2 , b3 -a3 )
N
r v j
Er s
B
J T
Etv o
A
OPUESTO DE UN VECTOR RESTA PUNTO MEDIO DE UN SEGMENTO AB
op(⃗v) = -⃗v ⃗u − v= ⃗u + op(⃗v) a +b a +b a +b
Mismo modulo T1 ai
M=( 1 1 , 2 2 , 3 3 )
2 2 2
s
Mismo direccion et
v
a
a ñ A
o M
Sentido opuesto l s
a
La
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