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Aula: Escrevendo um Vetor pelas suas Coordenadas dados os Seus Pontos Inicial e Terminal

Atividade • 18 Questões

Q1:

Determine as coordenadas de um vetor  𝐴 𝐡 , em que 𝐴 = ( βˆ’ 4 , 5 , 1 , 2 ) e 𝐡 = ( βˆ’ 4 , 5 , 5 , 7 ) .

  • A ( 0 , 4 , 5 )
  • B ( 0 , βˆ’ 4 , 5 )
  • C ( 4 , 5 , 0 )
  • D ( βˆ’ 4 , 5 , 5 , 7 )
  • E ( βˆ’ 4 , 5 , 1 , 2 )

Q2:

O ponto inicial do vetor mostrado no diagrama Γ© a origem, ( 0 , 0 ) .

Quais sΓ£o as coordenadas do seu ponto terminal?

  • A ( 3 , βˆ’ 1 )
  • B ( βˆ’ 3 , 1 )
  • C ( βˆ’ 1 , 3 )
  • D ( 3 , 1 )
  • E ( βˆ’ 3 , βˆ’ 1 )

Quais sΓ£o as componentes do vetor?

  • A ( 3 , βˆ’ 1 )
  • B ( βˆ’ 3 , 1 )
  • C ( βˆ’ 1 , 3 )
  • D ( 3 , 1 )
  • E ( βˆ’ 3 , βˆ’ 1 )

Q3:

Determine as coordenadas do vetor  𝐴 𝐡 , em que 𝐴 = ( 1 , 5 , βˆ’ 0 , 3 ) e 𝐡 = ( βˆ’ 1 , 5 ) .

  • A ( βˆ’ 2 , 5 , 5 , 3 )
  • B ( 2 , 5 , βˆ’ 5 , 3 )
  • C ( 5 , 3 , βˆ’ 2 , 5 )
  • D ( βˆ’ 1 , 5 )
  • E ( 1 , 5 , βˆ’ 0 , 3 )

Q4:

O ponto inicial do vetor mostrado no diagrama Γ© a origem, ( 0 , 0 ) .

Quais sΓ£o as coordenadas do seu ponto terminal?

  • A ( βˆ’ 1 , βˆ’ 2 )
  • B ( 1 , βˆ’ 2 )
  • C ( βˆ’ 2 , βˆ’ 1 )
  • D ( 2 , 1 )
  • E ( 1 , 2 )

Quais sΓ£o as componentes do vetor?

  • A ( βˆ’ 1 , βˆ’ 2 )
  • B ( 1 , βˆ’ 2 )
  • C ( βˆ’ 2 , βˆ’ 1 )
  • D ( 2 , 1 )
  • E ( 1 , 2 )

Q5:

Considere o vetor representado na figura.

Quais sΓ£o as coordenadas do seu ponto terminal?

  • A ( 3 , 1 )
  • B ( 5 , 3 )
  • C ( βˆ’ 2 , βˆ’ 2 )
  • D ( 2 , 2 )
  • E ( 1 , 3 )

Quais sΓ£o as coordenadas do seu ponto inicial?

  • A ( βˆ’ 2 , βˆ’ 2 )
  • B ( 5 , 3 )
  • C ( 3 , 1 )
  • D ( 2 , 2 )
  • E ( 1 , 3 )

Quais sΓ£o as coordenadas do vetor?

  • A ( 5 , 3 )
  • B ( βˆ’ 5 , βˆ’ 3 )
  • C ( 3 , 5 )
  • D ( βˆ’ 2 , βˆ’ 2 )
  • E ( 3 , 1 )

Q6:

Dado os pontos 𝐴 ( 8 , βˆ’ 1 0 ) , 𝐡 ( 3 , 3 ) , e 𝐢 ( 9 , 1 1 ) , encontre as coordenadas do ponto 𝐷 de tal modo que  𝐢 𝐷 Γ© equivalente a  𝐴 𝐡 .

  • A ( 4 , 2 4 )
  • B ( 1 1 , 2 )
  • C ( 2 4 , 4 )
  • D ( 2 , βˆ’ 1 4 )
  • E ( βˆ’ 1 4 , 2 )

Q7:

Determine as coordenadas de um vetor  𝐴 𝐡 , em que 𝐴 = ( βˆ’ 1 9 , βˆ’ 4 , 1 ) e 𝐡 = ( βˆ’ 4 , 4 , βˆ’ 9 , 7 ) .

  • A ( 1 4 , 6 , βˆ’ 5 , 6 )
  • B ( βˆ’ 1 4 , 6 , 5 , 6 )
  • C ( βˆ’ 5 , 6 , 1 4 , 6 )
  • D ( βˆ’ 4 , 4 , βˆ’ 9 , 7 )
  • E ( βˆ’ 1 9 , βˆ’ 4 , 1 )

Q8:

Um vetor tem coordenadas ( βˆ’ 1 , βˆ’ 2 ) e tem como ponto terminal ( βˆ’ 9 , 0 ) . Qual Γ© o seu ponto inicial?

  • A ( βˆ’ 8 , 2 )
  • B ( βˆ’ 8 , βˆ’ 2 )
  • C ( 8 , βˆ’ 2 )
  • D ( 2 , βˆ’ 8 )
  • E ( βˆ’ 1 0 , βˆ’ 2 )

Q9:

Determine as coordenadas do ponto inicial do vetor representado na figura.

  • A ( 3 , βˆ’ 3 )
  • B ( βˆ’ 2 , 1 )
  • C ( βˆ’ 3 , 3 )
  • D ( 3 , 3 )
  • E ( βˆ’ 3 , βˆ’ 3 )

Q10:

Considere o vetor representado na figura.

Quais sΓ£o as coordenadas do seu ponto terminal?

  • A ( βˆ’ 4 , βˆ’ 2 )
  • B ( 0 , βˆ’ 5 )
  • C ( βˆ’ 4 , 3 )
  • D ( 3 , βˆ’ 4 )
  • E ( βˆ’ 2 , βˆ’ 4 )

Quais sΓ£o as coordenadas do seu ponto inicial?

  • A ( βˆ’ 4 , 3 )
  • B ( 0 , βˆ’ 5 )
  • C ( βˆ’ 4 , βˆ’ 2 )
  • D ( 3 , βˆ’ 4 )
  • E ( βˆ’ 2 , βˆ’ 4 )

Quais sΓ£o as coordenadas do vetor?

  • A ( 0 , βˆ’ 5 )
  • B ( 0 , 5 )
  • C ( βˆ’ 5 , 0 )
  • D ( βˆ’ 4 , βˆ’ 2 )
  • E ( βˆ’ 4 , 3 )

Q11:

Determine as coordenadas do vetor  𝐴 𝐡 , em que 𝐴 = ( 1 5 , 3 , βˆ’ 5 ) e 𝐡 = ( βˆ’ 3 , 7 , βˆ’ 5 ) .

  • A ( βˆ’ 1 9 , 0 )
  • B ( 1 9 , 0 )
  • C ( 0 , βˆ’ 1 9 )
  • D ( βˆ’ 3 , 7 , βˆ’ 5 )
  • E ( 1 5 , 3 , βˆ’ 5 )

Q12:

O ponto inicial do vetor mostrado no diagrama Γ© a origem, ( 0 , 0 ) .

Quais sΓ£o as coordenadas do seu ponto terminal?

  • A ( βˆ’ 2 , 3 )
  • B ( βˆ’ 3 , 2 )
  • C ( 2 , 3 )
  • D ( βˆ’ 2 , βˆ’ 3 )
  • E ( 2 , βˆ’ 3 )

Quais sΓ£o as componentes do vetor?

  • A ( βˆ’ 2 , 3 )
  • B ( βˆ’ 3 , 2 )
  • C ( 2 , 3 )
  • D ( βˆ’ 2 , βˆ’ 3 )
  • E ( 2 , βˆ’ 3 )

Q13:

Considere o vetor representado na figura.

Quais sΓ£o as coordenadas do seu ponto terminal?

  • A ( 2 , 1 )
  • B ( βˆ’ 1 , βˆ’ 3 )
  • C ( 3 , 4 )
  • D ( 4 , 3 )
  • E ( 1 , 2 )

Quais sΓ£o as coordenadas do seu ponto inicial?

  • A ( 3 , 4 )
  • B ( βˆ’ 1 , βˆ’ 3 )
  • C ( 2 , 1 )
  • D ( 4 , 3 )
  • E ( 1 , 2 )

Quais sΓ£o as coordenadas do vetor?

  • A ( βˆ’ 1 , βˆ’ 3 )
  • B ( 1 , 3 )
  • C ( βˆ’ 3 , βˆ’ 1 )
  • D ( 3 , 4 )
  • E ( 2 , 1 )

Q14:

Utilizando o grΓ‘fico mostrado, determine o vetor de posição do ponto 𝐢 em relação ao ponto de origem 𝑂 , denotado por  𝑂 𝐢 , e encontre sua norma, denotada por | |  𝑂 𝐢 | | .

  • A  𝑂 𝐢 = ( βˆ’ 9 ; βˆ’ 6 ) , | |  𝑂 𝐢 | | = 3 √ 1 3
  • B  𝑂 𝐢 = ( βˆ’ 6 ; βˆ’ 9 ) , | |  𝑂 𝐢 | | = √ 1 5
  • C  𝑂 𝐢 = ( βˆ’ 9 ; βˆ’ 6 ) , | |  𝑂 𝐢 | | = √ 1 5
  • D  𝑂 𝐢 = ( βˆ’ 6 ; βˆ’ 9 ) , | |  𝑂 𝐢 | | = 3 √ 1 3
  • E  𝑂 𝐢 = ( 9 ; 6 ) , | |  𝑂 𝐢 | | = 3 √ 1 3

Q15:

Considere o vetor representado na figura.

Quais sΓ£o as coordenadas do seu ponto terminal?

  • A ( 1 , 4 )
  • B ( βˆ’ 6 , 0 )
  • C ( 7 , 4 )
  • D ( 7 , 1 )
  • E ( 4 , 1 )

Quais sΓ£o as coordenadas do seu ponto inicial?

  • A ( 7 , 4 )
  • B ( βˆ’ 6 , 0 )
  • C ( 1 , 4 )
  • D ( 4 , 1 )
  • E ( 4 , 7 )

Quais sΓ£o as coordenadas do vetor?

  • A ( βˆ’ 6 , 0 )
  • B ( 6 , 0 )
  • C ( 0 , βˆ’ 6 )
  • D ( 1 , 4 )
  • E ( 7 , 4 )

Q16:

Determine as coordenadas do ponto terminal do vetor representado na figura.

  • A ( 4 , 1 )
  • B ( βˆ’ 2 , βˆ’ 3 )
  • C ( 1 , 4 )
  • D ( βˆ’ 4 , βˆ’ 1 )
  • E ( βˆ’ 3 , βˆ’ 2 )

Q17:

Determine as coordenadas do vetor  𝐴 𝐡 .

  • A ( βˆ’ 3 , 1 , 9 )
  • B ( βˆ’ 3 , βˆ’ 1 , 7 )
  • C ( 1 , 9 , βˆ’ 3 )
  • D ( 4 , 1 , 9 )
  • E ( 4 , βˆ’ 1 , 7 )

Q18:

Considere o vetor representado na figura.

Quais sΓ£o as coordenadas do seu ponto terminal?

  • A ( 1 , 2 )
  • B ( 0 , βˆ’ 2 )
  • C ( 1 , 4 )
  • D ( 4 , 1 )
  • E ( 2 , 1 )

Quais sΓ£o as coordenadas do seu ponto inicial?

  • A ( 1 , 4 )
  • B ( 0 , βˆ’ 2 )
  • C ( 1 , 2 )
  • D ( 2 , 1 )
  • E ( 4 , 1 )

Quais sΓ£o as coordenadas do vetor?

  • A ( 0 , βˆ’ 2 )
  • B ( 0 , 2 )
  • C ( βˆ’ 2 , 0 )
  • D ( 1 , 4 )
  • E ( 1 , 2 )
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