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Jika besarnya resultan dan selisih kedua vektor sama, maka besarnya sudut apit kedua vektor adalah ….

Jika besarnya resultan dan selisih kedua vektor sama, maka besarnya sudut apit kedua vektor adalah ….space space 

  1. 60 degree   

  2. 45 degree 

  3. 37 degree 

  4. 30 degree 

  5. 0 degree 

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N. Puspita

Master Teacher

Jawaban terverifikasi

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tidak ada jawaban yang tepat.

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Diketahui: Resultan vektor = Selisih vektor Ditanya: sudut apit ( θ ) = ...? Jawaban: Resultan vektor dirumuskan sebagai: Sedangkan selisih vektor dirumuskan sebagai: Maka, Dengan demikian, besar sudut apit kedua vektor adalah 90°. Jadi, tidak ada jawaban yang tepat.

Diketahui: Resultan vektor = Selisih vektor

Ditanya: sudut apit (θ) = ...?

Jawaban:

Resultan vektor dirumuskan sebagai:

R equals square root of open vertical bar straight a with rightwards arrow on top close vertical bar squared plus open vertical bar straight b with rightwards arrow on top close vertical bar squared plus 2 open vertical bar straight a with rightwards arrow on top close vertical bar open vertical bar straight b with rightwards arrow on top close vertical bar space cos space theta end root 

Sedangkan selisih vektor dirumuskan sebagai:

S equals square root of open vertical bar straight a with rightwards arrow on top close vertical bar squared plus open vertical bar straight b with rightwards arrow on top close vertical bar squared minus 2 open vertical bar straight a with rightwards arrow on top close vertical bar open vertical bar straight b with rightwards arrow on top close vertical bar space cos space theta end root  

Maka, 

table attributes columnalign right center left columnspacing 0px end attributes row R equals S row cell square root of open vertical bar straight a with rightwards arrow on top close vertical bar squared plus open vertical bar straight b with rightwards arrow on top close vertical bar squared plus 2 open vertical bar straight a with rightwards arrow on top close vertical bar open vertical bar straight b with rightwards arrow on top close vertical bar space cos space theta end root end cell equals cell square root of open vertical bar straight a with rightwards arrow on top close vertical bar squared plus open vertical bar straight b with rightwards arrow on top close vertical bar squared minus 2 open vertical bar straight a with rightwards arrow on top close vertical bar open vertical bar straight b with rightwards arrow on top close vertical bar space cos italic space theta end root end cell row cell open parentheses square root of open vertical bar straight a with rightwards arrow on top close vertical bar squared plus open vertical bar straight b with rightwards arrow on top close vertical bar squared plus 2 open vertical bar straight a with rightwards arrow on top close vertical bar open vertical bar straight b with rightwards arrow on top close vertical bar space cos space theta end root close parentheses squared end cell equals cell open parentheses square root of open vertical bar straight a with rightwards arrow on top close vertical bar squared plus open vertical bar straight b with rightwards arrow on top close vertical bar squared minus 2 open vertical bar straight a with rightwards arrow on top close vertical bar open vertical bar straight b with rightwards arrow on top close vertical bar space cos space theta end root close parentheses squared end cell row cell open vertical bar straight a with rightwards arrow on top close vertical bar squared plus open vertical bar straight b with rightwards arrow on top close vertical bar squared plus 2 open vertical bar straight a with rightwards arrow on top close vertical bar open vertical bar straight b with rightwards arrow on top close vertical bar space cos space theta end cell equals cell open vertical bar straight a with rightwards arrow on top close vertical bar squared plus open vertical bar straight b with rightwards arrow on top close vertical bar squared minus 2 open vertical bar straight a with rightwards arrow on top close vertical bar open vertical bar straight b with rightwards arrow on top close vertical bar space cos space theta end cell row cell 2 open vertical bar straight a with rightwards arrow on top close vertical bar open vertical bar straight b with rightwards arrow on top close vertical bar space cos space theta plus 2 open vertical bar straight a with rightwards arrow on top close vertical bar open vertical bar straight b with rightwards arrow on top close vertical bar space cos space theta end cell equals 0 row cell 4 open vertical bar straight a with rightwards arrow on top close vertical bar open vertical bar straight b with rightwards arrow on top close vertical bar space cos italic space theta end cell equals 0 row cell cos space theta end cell equals 0 row theta equals cell cos to the power of negative 1 end exponent open parentheses 0 close parentheses end cell row theta equals cell 90 degree end cell end table   

Dengan demikian, besar sudut apit kedua vektor adalah 90°.

Jadi, tidak ada jawaban yang tepat.

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Haidar ali Fadhillah

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Pertanyaan serupa

Dua buah vektor besarnya sama. Tentukan sudut apit antara kedua vektor tersebut agar hasil bagi antara selisih dan resultannya sama 3 1 ​ 3 ​ !

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4.4

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