Roboguru

Jika  dan  serta sudut antara  dan  adalah , hasil...

Jika open vertical bar straight u with rightwards harpoon with barb upwards on top close vertical bar equals 3 dan open vertical bar straight v with rightwards harpoon with barb upwards on top close vertical bar equals 4 serta sudut antara open vertical bar straight u with rightwards harpoon with barb upwards on top close vertical bar dan open vertical bar straight v with rightwards harpoon with barb upwards on top close vertical bar adalah 135 degree space, hasil straight u with rightwards harpoon with barb upwards on top times straight v with rightwards harpoon with barb upwards on top adalah...space

Jawaban:

Untuk menyelesaikan soal diatas maka dapat menggunakan operasi dot product sebagai berikut

table attributes columnalign right center left columnspacing 0px end attributes row cell u with rightwards harpoon with barb upwards on top times v with rightwards arrow on top end cell equals cell open vertical bar u close vertical bar open vertical bar v close vertical bar cos theta end cell row blank equals cell 3 times 4 times cos 135 degree end cell row blank equals cell 12 open square brackets cos left parenthesis 90 degree plus 45 degree right parenthesis close square brackets end cell row blank equals cell 12 open square brackets cos 90 degree times cos 45 degree minus sin 90 degree times sin 45 degree close square brackets end cell row blank equals cell 12 open square brackets 0 times 1 half square root of 2 minus 1 times 1 half square root of 2 close square brackets end cell row blank equals cell 12 open square brackets 0 minus 1 half square root of 2 close square brackets end cell row blank equals cell 12 open square brackets negative 1 half square root of 2 close square brackets end cell row blank equals cell negative 6 square root of 2 end cell end table 

Jadi, hasil dari straight u with rightwards harpoon with barb upwards on top times straight v with rightwards harpoon with barb upwards on top adalah negative 6 square root of 2.

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