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Diketahui vektor a ⇀ = ⎝ ⎛ ​ 3 − 2 1 ​ ⎠ ⎞ ​ , vektor b ⇀ = ⎝ ⎛ ​ 2 − 4 3 ​ ⎠ ⎞ ​ dan vektor c ⇀ = ⎝ ⎛ ​ − 1 2 2 ​ ⎠ ⎞ ​ . Hitunglah: ∣ ∣ ​ a ⇀ ∣ ∣ ​ , ∣ ∣ ​ b ⇀ ∣ ∣ ​ dan ∣ ∣ ​ c ⇀ ∣ ∣ ​

Diketahui vektor , vektor  dan vektor  .

Hitunglah: ,  dan  

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Jawaban terverifikasi

Jawaban

, dan

 table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open vertical bar straight a with rightwards harpoon with barb upwards on top close vertical bar 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 square root of 14 end cell end table, table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open vertical bar straight b with rightwards harpoon with barb upwards on top close vertical bar 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 square root of 29 end cell end table dan table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open vertical bar straight c with rightwards harpoon with barb upwards on top close vertical bar 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 3 end table 

Pembahasan

Jawaban yang benar untuk pertanyaan tersebut adalah ​ ​ ∣ a ⇀ ∣ = 14 ​ ​ , ​ ​ ∣ b ⇀ ∣ = 29 ​ ​ dan ​ ​ ∣ c ⇀ ∣ = 3 ​ Diketahui , . Panjang vektor. Dengan demikian, , dan

Jawaban yang benar untuk pertanyaan tersebut adalah ,  dan  

Diketahui

straight a with rightwards harpoon with barb upwards on top equals open parentheses table row 3 row cell negative 2 end cell row 1 end table close parentheses,

b with rightwards harpoon with barb upwards on top equals open parentheses table row 2 row cell negative 4 end cell row 3 end table close parentheses 

straight c with rightwards harpoon with barb upwards on top equals open parentheses table row cell negative 1 end cell row 2 row 2 end table close parentheses .

Panjang vektor.

table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar straight a with rightwards harpoon with barb upwards on top close vertical bar end cell equals cell square root of 3 squared plus left parenthesis negative 2 right parenthesis squared plus 1 to the power of 2 end exponent end root end cell row blank equals cell square root of 9 plus 4 plus 1 end root end cell row blank equals cell square root of 14 end cell row cell open vertical bar straight b with rightwards harpoon with barb upwards on top close vertical bar end cell equals cell square root of 2 squared plus left parenthesis negative 4 right parenthesis squared plus 3 squared end root end cell row blank equals cell square root of 4 plus 16 plus 9 end root end cell row blank equals cell square root of 29 end cell row cell open vertical bar straight c with rightwards harpoon with barb upwards on top close vertical bar end cell equals cell square root of left parenthesis negative 1 right parenthesis squared plus 2 to the power of 2 end exponent 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 

Dengan demikian, table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open vertical bar straight a with rightwards harpoon with barb upwards on top close vertical bar 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 square root of 14 end cell end table, table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open vertical bar straight b with rightwards harpoon with barb upwards on top close vertical bar 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 square root of 29 end cell end table dan table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open vertical bar straight c with rightwards harpoon with barb upwards on top close vertical bar 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 3 end table 

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