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Resultan dari penjumlahan dua buah vektor yang sama besarnya 3 satuan. Jika kedua vektor tersebut membentuk sudut 6 0 ∘ , nilai masing-masing vektor tersebut adalah ….

Resultan dari penjumlahan dua buah vektor yang sama besarnya 3 satuan. Jika kedua vektor tersebut membentuk sudut  , nilai masing-masing vektor tersebut adalah …. space space 

  1. 5 satuan 

  2. 4 satuan 

  3. 3 satuan 

  4. 2 satuan 

  5. 1 satuan 

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Jawaban terverifikasi

Jawaban

vektor tersebut masing-masing besarnya adalah satuan

vektor tersebut masing-masing besarnya adalah square root of 3 satuan

Pembahasan

Pembahasan
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Jadi, vektor tersebut masing-masing besarnya adalah satuan

open vertical bar straight a with rightwards harpoon with barb upwards on top plus straight b with rightwards harpoon with barb upwards on top close vertical bar equals square root of open vertical bar straight a with rightwards harpoon with barb upwards on top close vertical bar squared plus vertical line straight b with rightwards harpoon with barb upwards on top vertical line squared plus 2 open vertical bar straight a with rightwards harpoon with barb upwards on top close vertical bar open vertical bar straight b with rightwards harpoon with barb upwards on top close vertical bar cos open parentheses straight theta close parentheses end root 3 equals square root of open vertical bar straight a with rightwards harpoon with barb upwards on top close vertical bar squared plus open vertical bar straight a with rightwards harpoon with barb upwards on top close vertical bar squared plus 2 open vertical bar straight a with rightwards harpoon with barb upwards on top close vertical bar squared cos open parentheses 60 to the power of straight o close parentheses end root 9 equals open vertical bar straight a with rightwards harpoon with barb upwards on top close vertical bar squared plus open vertical bar straight a with rightwards harpoon with barb upwards on top close vertical bar squared plus 2 open vertical bar straight a with rightwards harpoon with barb upwards on top close vertical bar squared left parenthesis 1 half right parenthesis 9 equals 3 open vertical bar straight a with rightwards harpoon with barb upwards on top close vertical bar squared open vertical bar straight a with rightwards harpoon with barb upwards on top close vertical bar squared equals 3 open vertical bar straight a with rightwards harpoon with barb upwards on top close vertical bar equals square root of 3

Jadi, vektor tersebut masing-masing besarnya adalah square root of 3 satuan

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