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Pertanyaan

Jika ∣ ∣ ​ u ∣ ∣ ​ = 6 dan ∣ ∣ ​ v ∣ ∣ ​ = 4 dan sudut antara u dan v adalah 6 0 ∘ , tentukanlah ( u + v ) ⋅ v !

Jika  dan sudut antara  adalah , tentukanlah !

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P. Afrisno

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

diperoleh .

diperoleh table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses u with rightwards arrow on top plus v with rightwards arrow on top close parentheses 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 v with rightwards arrow 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 28 end table.

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Pembahasan

Diketahui: maka dapat ditentukan: Dengan demikian, diperoleh .

Diketahui:

table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar u with rightwards arrow on top close vertical bar end cell equals 6 row cell open vertical bar v with rightwards arrow on top close vertical bar end cell equals 4 row theta equals cell 60 degree end cell end table 

maka dapat ditentukan:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses u with rightwards arrow on top plus v with rightwards arrow on top close parentheses times v with rightwards arrow on top end cell equals cell u with rightwards arrow on top times v with rightwards arrow on top plus v with rightwards arrow on top times v with rightwards arrow on top end cell row blank equals cell open vertical bar u with rightwards arrow on top close vertical bar open vertical bar v with rightwards arrow on top close vertical bar cos space theta plus open vertical bar v with rightwards arrow on top close vertical bar squared end cell row blank equals cell 6 times 4 times cos space 60 degree plus 4 squared end cell row blank equals cell 24 times 1 half plus 16 end cell row blank equals cell 12 plus 16 end cell row blank equals 28 end table 

Dengan demikian, diperoleh table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses u with rightwards arrow on top plus v with rightwards arrow on top close parentheses 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 v with rightwards arrow 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 28 end table.

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

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