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Pertanyaan

Jika a = 3 i − 4 j ​ , b = 4 i − 3 j ​ dan c = i − j ​ maka ∣ ∣ ​ b ∣ ∣ ​ a + ∣ a ∣ b = .....

Jika  dan  maka  = .....

  1. table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 15 c with bar on top end cell end table 

  2. table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 25 c with bar on top end cell end table 

  3. table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 35 c with bar on top end cell end table 

  4. table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 45 c with bar on top end cell end table 

  5. table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 55 c with bar on top end cell end table 

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S. Dwi

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah C.

jawaban yang benar adalah C.

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Pembahasan

Dengan menggunakan sifat vektor, didapatkan : Jika , dan maka = ..... Serta, Sehingga didapatkan : Maka, . Oleh karena itu, jawaban yang benar adalah C.

Dengan menggunakan sifat vektor, didapatkan :

Jika a with bar on top equals 3 i with bar on top minus sign 4 j with bar on topb with bar on top equals 4 i with bar on top minus sign 3 j with bar on top dan c with bar on top equals i with bar on top plus j with bar on top maka open vertical bar b with bar on top close vertical bar a with bar on top plus open vertical bar a with bar on top close vertical bar b with bar on top = .....

table attributes columnalign right center left columnspacing 0px end attributes row cell a with bar on top end cell equals cell 3 i with bar on top minus sign 4 j with bar on top end cell row cell open vertical bar a with bar on top close vertical bar end cell equals cell square root of 3 squared plus left parenthesis minus sign 4 right parenthesis squared end root end cell row blank equals cell square root of 9 plus 16 end root end cell row blank equals cell square root of 25 end cell row blank equals 5 end table   

Serta,

table attributes columnalign right center left columnspacing 0px end attributes row cell b with bar on top end cell equals cell 4 i with bar on top minus sign 3 j with bar on top end cell row cell open vertical bar b with bar on top close vertical bar end cell equals cell square root of 4 squared plus left parenthesis minus sign 3 right parenthesis squared end root end cell row blank equals cell square root of 16 plus 9 end root end cell row blank equals cell square root of 25 end cell row blank equals 5 end table

Sehingga didapatkan :

table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar b with bar on top close vertical bar a with bar on top plus open vertical bar a with bar on top close vertical bar b with bar on top end cell equals cell 5 open parentheses 3 i with bar on top minus sign 4 j with bar on top close parentheses plus 5 open parentheses 4 i with bar on top minus sign 3 j with bar on top close parentheses end cell row blank equals cell 15 i with bar on top minus sign 20 j with bar on top plus 20 i with bar on top minus sign 15 j with bar on top end cell row blank equals cell 35 i with bar on top minus sign 35 j with bar on top end cell row blank equals cell 35 left parenthesis i with bar on top minus sign j with bar on top right parenthesis end cell row blank equals cell 35 c with bar on top end cell end table

Maka, table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar b with bar on top close vertical bar a with bar on top plus open vertical bar a with bar on top close vertical bar b with bar on top end cell equals cell 35 c with bar on top end cell end table

Oleh karena itu, jawaban yang benar adalah C.

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