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Pertanyaan

Jika a dan b adalah sembarang vektor dari ∣ a ∣ menyatakan panjang vektor , maka ( a + b ) ∙ ( a + b ) = …

Jika  dan  adalah sembarang vektor dari  menyatakan panjang vektor a with bar on top, maka  

  1. open vertical bar a with bar on top plus b with bar on top close vertical bar squared   

  2. open vertical bar a with bar on top minus b with bar on top close vertical bar squared 

  3. open vertical bar a with bar on top plus b with bar on top close vertical bar  

  4. open vertical bar a with bar on top minus b with bar on top close vertical bar  

  5. open vertical bar a with bar on top close vertical bar squared plus open vertical bar b with bar on top close vertical bar squared 

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E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah A.

jawaban yang benar adalah A.

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Pembahasan

Ingat kembali rumus berikut. Dari rumus diatas diperoleh Dengan demikian Jadi, jawaban yang benar adalah A.

Ingat kembali rumus berikut.

  • top enclose a bullet top enclose a equals open vertical bar top enclose a close vertical bar squared 
  • top enclose a bullet top enclose b equals open vertical bar top enclose a close vertical bar times open vertical bar top enclose b close vertical bar times cos space alpha 
  • top enclose a bullet top enclose b equals top enclose b bullet top enclose a
  • table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses a with bar on top plus b with bar on top close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bullet end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses a with bar on top plus b with bar on top close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a with bar on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bullet end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a with bar on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a with bar on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bullet end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell b with bar on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell b with bar on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bullet end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a with bar on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell b with bar on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bullet end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell b with bar on top end cell end table
  • table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar p with bar on top plus q with bar on top close vertical bar squared end cell equals cell open vertical bar p with bar on top close vertical bar squared plus open vertical bar q with bar on top close vertical bar squared plus 2 open vertical bar space p with bar on top close vertical bar times open vertical bar stack space q with bar on top close vertical bar times cos space alpha end cell end table  

Dari rumus diatas diperoleh

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses a with bar on top plus b with bar on top close parentheses bullet open parentheses a with bar on top plus b with bar on top close parentheses end cell equals cell a with bar on top bullet a with bar on top plus a with bar on top bullet b with bar on top plus b with bar on top bullet a with bar on top plus b with bar on top bullet b with bar on top end cell row blank equals cell open vertical bar a with bar on top close vertical bar squared plus 2 open parentheses a with bar on top bullet b with bar on top close parentheses plus open vertical bar b with bar on top close vertical bar squared end cell row blank equals cell open vertical bar a with bar on top close vertical bar squared plus 2 times open vertical bar a with bar on top close vertical bar times open vertical bar b with bar on top close vertical bar times cos space alpha plus open vertical bar b with bar on top close vertical bar squared end cell row blank equals cell open vertical bar a with bar on top close vertical bar squared plus open vertical bar b with bar on top close vertical bar squared plus 2 times stack open vertical bar a close vertical bar with bar on top times open vertical bar b with bar on top close vertical bar times cos space alpha end cell row blank equals cell open vertical bar a with bar on top plus b with bar on top close vertical bar squared end cell end table   

Dengan demikian table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses a with bar on top plus b with bar on top close parentheses bullet open parentheses a with bar on top plus b with bar on top close parentheses end cell equals cell open vertical bar a with bar on top plus b with bar on top close vertical bar squared end cell end table

Jadi, jawaban yang benar adalah A.

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