dados os vetores U=(-2,4) determine o vetor xtal que 3x-(3v-2u) =2(2x-7u)
Anônimo:
Boa tarde Paulo! Não ficou faltando o vetor V?
sim
Ok! Coloca o valor do vetor para poder resolver.
Dados os vetores U=(2,3) e V= ( -2,4)e determine o vetor x tal que 3x-(3v-2u) =2(2x-7u)
isso ai
Beleza! Vou fazer.
Respostas
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Boa tarde Paulo!
Solução!
![\vec{u}=(2,3)\\\\\
\vec{v}=(-2,4)\\\\\\\\
3x-(3v-2u)=2(2x-7u)\\\\
3x-3v+2u=4x-14u\\\\\\
3x-4x=-14u-2u-3v\\\\\
-x=-16u-3v \times(-1)\\\\\
x=16u+3v\\\\\\
substituindo~~os~~vetores!\\\\\\\
x=16(2,3)+3(-2,4)\\\\\
x=(32,48)+(-6,12)\\\\\
x=(32-6,48+12)\\\\\
x=(26,60)](https://tex.z-dn.net/?f=%5Cvec%7Bu%7D%3D%282%2C3%29%5C%5C%5C%5C%5C%0A%5Cvec%7Bv%7D%3D%28-2%2C4%29%5C%5C%5C%5C%5C%5C%5C%5C%0A3x-%283v-2u%29%3D2%282x-7u%29%5C%5C%5C%5C%0A3x-3v%2B2u%3D4x-14u%5C%5C%5C%5C%5C%5C%0A3x-4x%3D-14u-2u-3v%5C%5C%5C%5C%5C%0A-x%3D-16u-3v+%5Ctimes%28-1%29%5C%5C%5C%5C%5C%0Ax%3D16u%2B3v%5C%5C%5C%5C%5C%5C%0Asubstituindo%7E%7Eos%7E%7Evetores%21%5C%5C%5C%5C%5C%5C%5C%0Ax%3D16%282%2C3%29%2B3%28-2%2C4%29%5C%5C%5C%5C%5C%0Ax%3D%2832%2C48%29%2B%28-6%2C12%29%5C%5C%5C%5C%5C%0Ax%3D%2832-6%2C48%2B12%29%5C%5C%5C%5C%5C%0Ax%3D%2826%2C60%29 "\vec{u}=(2,3)\\\\\
\vec{v}=(-2,4)\\\\\\\\
3x-(3v-2u)=2(2x-7u)\\\\
3x-3v+2u=4x-14u\\\\\\
3x-4x=-14u-2u-3v\\\\\
-x=-16u-3v \times(-1)\\\\\
x=16u+3v\\\\\\
substituindo~~os~~vetores!\\\\\\\
x=16(2,3)+3(-2,4)\\\\\
x=(32,48)+(-6,12)\\\\\
x=(32-6,48+12)\\\\\
x=(26,60)")
Boa tarde!
Bons estudos!
Solução!
Boa tarde!
Bons estudos!
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