Pertanyaan

Diketahui a = 3 i − j ​ , b = 2 i + 13 j ​ , dan c = − 2 i − 8 j ​ . Tentukanlah: b. a + b + c dan ∣ ∣ ​ a + b + c ∣ ∣ ​

Diketahui . Tentukanlah:

b.   

H. Hermawan

Master Teacher

Mahasiswa/Alumni Universitas Lampung

Jawaban terverifikasi

Jawaban

adalah dan adalah .

 begin mathsize 14px style a with rightwards arrow on top plus b with rightwards arrow on top plus c with rightwards arrow on top end style adalah begin mathsize 14px style open parentheses table row 3 row 4 end table close parentheses end style dan begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open vertical bar a with rightwards arrow on top plus b with rightwards arrow on top plus c with rightwards arrow on top close vertical bar end cell end table end style adalah begin mathsize 14px style 5 end style.

Pembahasan

didapatkan: didapatkan: Dengan demikian, adalah dan adalah .

begin mathsize 14px style a with rightwards arrow on top plus b with rightwards arrow on top plus c with rightwards arrow on top end style didapatkan:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell a with rightwards arrow on top plus b with rightwards arrow on top plus c with rightwards arrow on top end cell equals cell open parentheses table row 3 row cell negative 1 end cell end table close parentheses plus open parentheses table row 2 row 13 end table close parentheses plus open parentheses table row cell negative 2 end cell row cell negative 8 end cell end table close parentheses end cell row blank equals cell open parentheses table row 3 row 4 end table close parentheses end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open vertical bar a with rightwards arrow on top plus b with rightwards arrow on top plus c with rightwards arrow on top close vertical bar end cell end table end style didapatkan:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar a with rightwards arrow on top plus b with rightwards arrow on top plus c with rightwards arrow on top close vertical bar end cell equals cell square root of 3 squared plus 4 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 end style 

Dengan demikian, begin mathsize 14px style a with rightwards arrow on top plus b with rightwards arrow on top plus c with rightwards arrow on top end style adalah begin mathsize 14px style open parentheses table row 3 row 4 end table close parentheses end style dan begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open vertical bar a with rightwards arrow on top plus b with rightwards arrow on top plus c with rightwards arrow on top close vertical bar end cell end table end style adalah begin mathsize 14px style 5 end style.

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