Roboguru

Pada segitiga  dengan , , dan , hasil dari ....

Pertanyaan

Pada segitiga A B C dengan A open parentheses 1 comma space 1 comma space 1 close parenthesesB open parentheses 2 comma negative 1 comma space 3 close parentheses, dan C open parentheses 3 comma space 2 comma negative 1 close parentheses, hasil dari open vertical bar stack A B with rightwards arrow on top close vertical bar stack A C with rightwards arrow on top plus open vertical bar stack A C with rightwards arrow on top close vertical bar stack B C with rightwards arrow on top equals....

  1. 9 i with rightwards arrow on top plus 12 j with rightwards arrow on top minus 18 k with rightwards arrow on top 

  2. 9 i with rightwards arrow on top minus 12 j with rightwards arrow on top plus 18 k with rightwards arrow on top 

  3. 12 i with rightwards arrow on top plus 9 j with rightwards arrow on top minus 18 k with rightwards arrow on top 

  4. 12 i with rightwards arrow on top minus 9 j with rightwards arrow on top plus 18 k with rightwards arrow on top 

  5. i with rightwards arrow on top plus j with rightwards arrow on top plus 2 k with rightwards arrow on top 

Pembahasan Soal:

Menghitung vektor stack A B with rightwards arrow on top 

table attributes columnalign right center left columnspacing 0px end attributes row cell stack A B with rightwards arrow on top end cell equals cell B with rightwards arrow on top minus A with rightwards arrow on top end cell row blank equals cell left parenthesis 2 comma negative 1 comma space 3 right parenthesis minus left parenthesis 1 comma space 1 comma space 1 right parenthesis end cell row blank equals cell left parenthesis 1 comma negative 2 comma space 2 right parenthesis space end cell end table 

Menghitung panjang vektor open vertical bar stack A B with rightwards arrow on top close vertical bar

 table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar stack A B with rightwards arrow on top close vertical bar end cell equals cell square root of 1 squared plus open parentheses negative 2 close parentheses squared plus 2 squared end root end cell row blank equals cell square root of 1 plus 4 plus 4 end root end cell row blank equals cell square root of 9 end cell row blank equals 3 end table 

Menghitung vektor stack A C with rightwards arrow on top 

table attributes columnalign right center left columnspacing 0px end attributes row cell stack A C with rightwards arrow on top end cell equals cell C with rightwards arrow on top minus A with rightwards arrow on top end cell row blank equals cell open parentheses 3 comma space 2 comma negative 1 close parentheses minus open parentheses 1 comma space 1 comma space 1 close parentheses end cell row blank equals cell open parentheses 2 comma space 1 comma negative 2 close parentheses end cell end table 

Menghitung panjang vektor open vertical bar stack A C with rightwards arrow on top close vertical bar  

table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar stack A C with rightwards arrow on top close vertical bar end cell equals cell square root of 2 squared plus 1 squared plus open parentheses negative 2 close parentheses squared end root end cell row blank equals cell square root of 4 plus 1 plus 4 end root end cell row blank equals cell square root of 9 end cell row blank equals 3 end table 

Menghitung vektor stack B C with rightwards arrow on top 

table attributes columnalign right center left columnspacing 0px end attributes row cell stack B C with rightwards arrow on top end cell equals cell C with rightwards arrow on top minus B with rightwards arrow on top end cell row blank equals cell open parentheses 3 comma space 2 comma negative 1 close parentheses minus open parentheses 2 comma negative 1 comma space 3 close parentheses end cell row blank equals cell open parentheses 1 comma space 3 comma negative 4 close parentheses end cell end table 

Menghitung open vertical bar stack A B with rightwards arrow on top close vertical bar stack A C with rightwards arrow on top plus open vertical bar stack A C with rightwards arrow on top close vertical bar stack B C with rightwards arrow on top 

table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar stack A B with rightwards arrow on top close vertical bar stack A C with rightwards arrow on top plus open vertical bar stack A C with rightwards arrow on top close vertical bar stack B C with rightwards arrow on top end cell equals cell 3 open parentheses 2 comma space 1 comma negative 2 close parentheses plus 3 open parentheses 1 comma space 3 comma negative 4 close parentheses end cell row blank equals cell open parentheses 6 comma space 3 comma negative 6 close parentheses plus open parentheses 3 comma space 9 comma negative 12 close parentheses end cell row blank equals cell open parentheses 9 comma space 12 comma negative 18 close parentheses end cell row blank equals cell 9 i with rightwards arrow on top plus 12 j with rightwards arrow on top minus 18 k with rightwards arrow on top end cell end table 

Oleh karena itu, jawaban yang benar adalah A.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 19 Mei 2021

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