Qual é o comprimento do vetor v → \overrightarrow{v} v <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> ?

10 \sqrt{10} 1 0 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

7 \sqrt{7} 7 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Na figura ao lado, está representado o paralelepípedo retângulo [ A B C D E F G H ] \left[ABCDEFGH\right] [ A B C D E F G H ] . Qual dos seguintes é o vetor soma u → + v → \overrightarrow{u}+\overrightarrow{v} u <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> + v <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> ?

F B → \overrightarrow{FB} F B <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z">

B F → \overrightarrow{BF} B F <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z">

C E → \overrightarrow{CE} C E <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z">

E B → \overrightarrow{EB} E B <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z">

Sabendo que T v → ( P ) = P ′ T_{\overrightarrow{v}}\left(P\right)=P' T v <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> ( P ) = P ′ , assinala todas as opções corretas.

v → = P P ′ → \overrightarrow{v}=\overrightarrow{PP'} v <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = P P ′ <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z">

P ′ = P + v → P'=P+\overrightarrow{v} P ′ = P + v <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z">

v → = P ′ P → \overrightarrow{v}=\overrightarrow{P'P} v <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = P ′ P <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z">

P = P ´ + v → P=P´+\overrightarrow{v} P = P ´ + v <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z">

Na figura está representado o retângulo [ A I L D ] \left[AILD\right] [ A I L D ] dividido em seis quadrados geometricamente iguais. Qual dos seguintes triângulos é a imagem do triângulo [ H I J ] \left[HIJ\right] [ H I J ] pela translação de vetor G D → \overrightarrow{GD} G D <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> .

Triângulo [ C E F ] \left[CEF\right] [ C E F ]

Triângulo [ C D E ] \left[CDE\right] [ C D E ]

Triângulo [ B C F ] \left[BCF\right] [ B C F ]

Triângulo [ B F G ] \left[BFG\right] [ B F G ]

Vetores

Authored by Rogério Berrincha

Mathematics

8th Grade

Used 29+ times

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MULTIPLE SELECT QUESTION

1 min • 1 pt

Observa os vetores representados no quadriculado da figura ao lado.
Assinala todas as afirmações verdadeiras.

Os vetores $\overrightarrow{v}$ e $\overrightarrow{t}$ são colineares.

Os vetores $\overrightarrow{v}$ e $\overrightarrow{t}$ têm a mesma direção.

Os vetores $\overrightarrow{u}$ e $\overrightarrow{t}$ são iguais.

Os vetores $\overrightarrow{u}$ e $\overrightarrow{t}$ têm o mesmo comprimento.

Os vetores $\overrightarrow{v}$ e $\overrightarrow{t}$ têm o mesmo sentido.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Qual é o comprimento do vetor $\overrightarrow{v}$ ?

$2,5$

$\sqrt{7}$

$\sqrt{10}$

$5$

MULTIPLE SELECT QUESTION

45 sec • 1 pt

A soma de um ponto com um vetor é um:

Ponto.

Vetor.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

A soma de dois vetores é um:

Ponto.

Vetor.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Assinala as opções nas quais estão representadas o vetor soma $\overrightarrow{u}+\overrightarrow{v}$ .

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Na figura ao lado, está representado o paralelepípedo retângulo $\left[ABCDEFGH\right]$ .
Qual dos seguintes é o vetor soma $\overrightarrow{u}+\overrightarrow{v}$ ?

$\overrightarrow{BF}$

$\overrightarrow{FB}$

$\overrightarrow{CE}$

$\overrightarrow{EB}$

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Sabendo que $T_{\overrightarrow{v}}\left(P\right)=P'$ , assinala todas as opções corretas.

$\overrightarrow{v}=\overrightarrow{P'P}$

$P=P´+\overrightarrow{v}$

$P'=P+\overrightarrow{v}$

$\overrightarrow{v}=\overrightarrow{PP'}$

FILL IN THE BLANK QUESTION

45 sec • 1 pt

Na figura ao lado, os pontos assinalados são vértices de quadrados geometricamente iguais.
Indica a imagem do ponto $E$ pela translação de vetor $\overrightarrow{BF}$ .

[Inserir apenas a letra, maiúscula, correspondente ao ponto)

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Na figura está representado o retângulo $\left[AILD\right]$ dividido em seis quadrados geometricamente iguais.

Qual dos seguintes triângulos é a imagem do triângulo $\left[HIJ\right]$ pela translação de vetor $\overrightarrow{GD}$ .

Triângulo $\left[CDE\right]$

Triângulo $\left[CEF\right]$

Triângulo $\left[BCF\right]$

Triângulo $\left[BFG\right]$

10.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Na figura encontra-se representado um retângulo $\left[AILD\right]$ , dividido em seis quadrados geometricamente iguais.

Atendendo às letras da figura, indica o objeto cuja imagem pela translação associada ao vetor $\frac{1}{2}\overrightarrow{LB}$ é o ponto $H$ .

(Inserir apenas a letra, maiúscúla, correspondente ao ponto)

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Vetores

Observa os vetores representados no quadriculado da figura ao lado.Assinala todas as afirmações verdadeiras.

Qual é o comprimento do vetor v→\overrightarrow{v}v ?

A soma de um ponto com um vetor é um:

A soma de dois vetores é um:

Assinala as opções nas quais estão representadas o vetor soma u→+v→\overrightarrow{u}+\overrightarrow{v}u+v .

Na figura ao lado, está representado o paralelepípedo retângulo [ABCDEFGH]\left[ABCDEFGH\right][ABCDEFGH] . Qual dos seguintes é o vetor soma u→+v→\overrightarrow{u}+\overrightarrow{v}u+v ?

Sabendo que Tv→(P)=P′T_{\overrightarrow{v}}\left(P\right)=P'Tv​(P)=P′ , assinala todas as opções corretas.

Na figura ao lado, os pontos assinalados são vértices de quadrados geometricamente iguais.Indica a imagem do ponto EEE pela translação de vetor BF→\overrightarrow{BF}BF . [Inserir apenas a letra, maiúscula, correspondente ao ponto)

Na figura está representado o retângulo [AILD]\left[AILD\right][AILD] dividido em seis quadrados geometricamente iguais. Qual dos seguintes triângulos é a imagem do triângulo [HIJ]\left[HIJ\right][HIJ] pela translação de vetor GD→\overrightarrow{GD}GD .

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Observa os vetores representados no quadriculado da figura ao lado.
Assinala todas as afirmações verdadeiras.

Qual é o comprimento do vetor $\overrightarrow{v}$ ?

Assinala as opções nas quais estão representadas o vetor soma $\overrightarrow{u}+\overrightarrow{v}$ .

Na figura ao lado, está representado o paralelepípedo retângulo $\left[ABCDEFGH\right]$ .
Qual dos seguintes é o vetor soma $\overrightarrow{u}+\overrightarrow{v}$ ?

Sabendo que $T_{\overrightarrow{v}}\left(P\right)=P'$ , assinala todas as opções corretas.

Na figura ao lado, os pontos assinalados são vértices de quadrados geometricamente iguais.
Indica a imagem do ponto $E$ pela translação de vetor $\overrightarrow{BF}$ .

[Inserir apenas a letra, maiúscula, correspondente ao ponto)

Na figura está representado o retângulo $\left[AILD\right]$ dividido em seis quadrados geometricamente iguais.

Qual dos seguintes triângulos é a imagem do triângulo $\left[HIJ\right]$ pela translação de vetor $\overrightarrow{GD}$ .