01 grandeza vetorial
TRANSCRIPT
![Page 1: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/1.jpg)
Grandezas Físicas
![Page 2: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/2.jpg)
DefiniçãoÉ tudo aquilo que pode
ser medidoExemplos:ComprimentoAceleraçãoForça
![Page 3: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/3.jpg)
Grandezas Escalares
Grandezas Vetoriais
Tipos
![Page 4: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/4.jpg)
Grandezas Escalares
![Page 5: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/5.jpg)
DefiniçãoSão grandezas que se
caracterizam apenas com um valor acompanhado de
uma unidade.Exemplos:MassaTempo
![Page 6: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/6.jpg)
Grandezas Vetoriais
![Page 7: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/7.jpg)
DefiniçãoSão grandezas que possuem
módulo(valor+unidade), direção e sentido
Exemplos:Aceleração Força
![Page 8: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/8.jpg)
Simbólica
Gráfica
Representação
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Representação Simbólica
a = vetor a
|a| = módulo do vetor a
a = módulo do vetor a
![Page 10: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/10.jpg)
Representação Gráfica(Vetor)
Módulo
DireçãoSentido
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Vetores Iguais
Vetores Opostos
Comparação
![Page 12: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/12.jpg)
Vetores IguaisSão vetores que possuem mesmo módulo, mesma
direção e mesmo sentido.
![Page 13: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/13.jpg)
Vetores OpostosSão vetores que possuem mesmo módulo, mesma
direção e sentidos opostos.
![Page 14: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/14.jpg)
Exemplos:
x
4u
y
4u4u
w
z
x y (vetores iguais)=
z = -w (vetores opostos)x y= z = w (módulos iguais)=
![Page 15: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/15.jpg)
SomaDiferençaMultiplicação por escalar
Operações
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Regra do Paralelogramo
Regra da Poligonal
Soma
![Page 17: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/17.jpg)
Regra do Paralelogramo
s=a+b
a
b
s
![Page 18: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/18.jpg)
b
a s
s2=a2+b2 +2.a.b.cosθ
Regra do Paralelogramo
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1º Caso Particular=90º
a
b
ss2=a2+b2
Regra do Paralelogramo
![Page 20: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/20.jpg)
2º Caso Particulara=b e =120º
s=a=b
b
as
Regra do Paralelogramo
![Page 21: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/21.jpg)
Regra da Poligonal
ab
c
s
s=a+b+c
![Page 22: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/22.jpg)
a b
s=a+b
s
Regra da Poligonal1º Caso Particular
=0º
![Page 23: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/23.jpg)
b
a
s=a-b
s
2º Caso Particular=180º
Regra da Poligonal
![Page 24: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/24.jpg)
Regra do Paralelogramo
Regra da Poligonal
Diferença
![Page 25: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/25.jpg)
d=a-b
a
b-b
d
Regra do Paralelogramo
![Page 26: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/26.jpg)
a
b-bd
Regra da Poligonal
d=a-b
![Page 27: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/27.jpg)
p=n.a
p= | n| .a
Módulo
a m esm a dovetor a
D ireção
se n> 0o m esm o do
vetor a
se n< 0oposto ao do
vetor a
Sentido
Características
Multiplicação
![Page 28: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/28.jpg)
Exemplo: p=3.aa
4.u
p
12.u
Multiplicação
![Page 29: 01 Grandeza Vetorial](https://reader033.vdocuments.pub/reader033/viewer/2022061406/5571f92049795991698edb2a/html5/thumbnails/29.jpg)
a
4.u
p
12.u
Multiplicação
Exemplo: p=-3.a