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Diketahui vektor a ⇀ = ⎝ ⎛ ​ 2 − 1 4 ​ ⎠ ⎞ ​ , b ⇀ = ⎝ ⎛ ​ 2 n n − 1 ​ ⎠ ⎞ ​ dan 2 1 ​ a ⇀ + 3 ⎝ ⎛ ​ 3 6 11 ​ − 1 ​ ⎠ ⎞ ​ = b ⇀ . c. Hitunglah panjang dari a ⇀ ⋅ b ⇀ jika diketahui kedua vektor saling tegak lurus!

Diketahui vektor ,  dan .

c. Hitunglah panjang dari  jika diketahui kedua vektor saling tegak lurus!

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Jawaban terverifikasi

Jawaban

i,

i, table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight a with rightwards harpoon with barb upwards on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight b with rightwards harpoon with barb upwards on top 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 11 end table 

Pembahasan

Pembahasan
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Kesamaan 2 vektor: Nilai maka: dan sehingga: Jadii,

Kesamaan 2 vektor:

table attributes columnalign right center left columnspacing 0px end attributes row cell 1 half straight a with rightwards harpoon with barb upwards on top plus 3 open parentheses table row 3 row cell 11 over 6 end cell row cell negative 1 end cell end table close parentheses end cell equals cell straight b with rightwards harpoon with barb upwards on top end cell row cell 1 half times open parentheses table row 2 row cell negative 1 end cell row 4 end table close parentheses plus open parentheses table row 9 row cell 11 over 2 end cell row cell negative 3 end cell end table close parentheses end cell equals cell open parentheses table row cell 2 straight n end cell row straight n row cell negative 1 end cell end table close parentheses end cell row cell open parentheses table row 1 row cell negative 1 half end cell row 2 end table close parentheses plus open parentheses table row 9 row cell 11 over 2 end cell row cell negative 3 end cell end table close parentheses end cell equals cell open parentheses table row cell 2 straight n end cell row straight n row cell negative 1 end cell end table close parentheses end cell row cell open parentheses table row cell 1 plus 9 end cell row cell negative 1 half plus 11 over 2 end cell row cell 2 minus 3 end cell end table close parentheses end cell equals cell open parentheses table row cell 2 straight n end cell row straight n row cell negative 1 end cell end table close parentheses end cell row cell open parentheses table row 10 row cell 10 over 2 end cell row cell negative 1 end cell end table close parentheses end cell equals cell open parentheses table row cell 2 straight n end cell row straight n row cell negative 1 end cell end table close parentheses end cell row cell open parentheses table row 10 row 5 row cell negative 1 end cell end table close parentheses end cell equals cell open parentheses table row cell 2 straight n end cell row straight n row cell negative 1 end cell end table close parentheses end cell row straight n equals 5 end table 

Nilai n equals 5 maka:

straight a with rightwards harpoon with barb upwards on top equals open parentheses table row 2 row cell negative 1 end cell row 4 end table close parentheses  dan 

table attributes columnalign right center left columnspacing 0px end attributes row cell straight b with rightwards harpoon with barb upwards on top end cell equals cell open parentheses table row cell 2 straight n end cell row straight n row cell negative 1 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell 2 times 5 end cell row 5 row cell negative 1 end cell end table close parentheses end cell row blank equals cell open parentheses table row 10 row 5 row cell negative 1 end cell end table close parentheses end cell end table 

sehingga:

table attributes columnalign right center left columnspacing 0px end attributes row cell straight a with rightwards harpoon with barb upwards on top times straight b with rightwards harpoon with barb upwards on top end cell equals cell open parentheses table row 2 row cell negative 1 end cell row 4 end table close parentheses times open parentheses table row 10 row 5 row cell negative 1 end cell end table close parentheses end cell row blank equals cell 2 times 10 plus left parenthesis negative 1 right parenthesis left parenthesis 5 right parenthesis plus 4 times left parenthesis negative 1 right parenthesis end cell row blank equals cell 20 minus 5 minus 4 end cell row blank equals 11 end table 

Jadii, table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight a with rightwards harpoon with barb upwards on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight b with rightwards harpoon with barb upwards on top 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 11 end table 

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