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DIketahui ∣ p ​ ∣ = 5 dan ∣ q → ​ ∣ = 6 . Jika ∠ ( p , q ) = 3 0 ∘ , tentukan hasil dari !

DIketahui  dan . Jika , tentukan hasil dari begin mathsize 14px style p with rightwards arrow on top times open parentheses p with rightwards arrow on top plus q with rightwards arrow on top close parentheses end style!  space undefined 

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E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

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nilai adalah

nilai begin mathsize 14px style p with rightwards arrow on top times open parentheses p with rightwards arrow on top plus q with rightwards arrow on top close parentheses end style adalah begin mathsize 14px style 25 plus 15 square root of 3 end style       undefined 

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Pembahasan

Dengan menggunakan rumus perkalian skalar antara dua vektor: Diperoleh Nilai Jadi, nilai adalah

Dengan menggunakan rumus perkalian skalar antara dua vektor:

begin mathsize 14px style a with rightwards arrow on top times b with rightwards arrow on top equals vertical line a with rightwards arrow on top vertical line vertical line b with rightwards arrow on top vertical line cos space alpha end style    

Diperoleh

begin mathsize 14px style p with rightwards arrow on top times q with rightwards arrow on top equals vertical line p with rightwards arrow on top vertical line vertical line q with rightwards arrow on top vertical line cos space 30 degree p with rightwards arrow on top times q with rightwards arrow on top equals 5 cross times 6 cross times 1 half square root of 3 p with rightwards arrow on top times q with rightwards arrow on top equals 15 square root of 3 end style 

Nilai begin mathsize 14px style p with rightwards arrow on top times open parentheses p with rightwards arrow on top plus q with rightwards arrow on top close parentheses end style

begin mathsize 14px style p with rightwards arrow on top times open parentheses p with rightwards arrow on top plus q with rightwards arrow on top close parentheses equals p with rightwards arrow on top times p with rightwards arrow on top plus p with rightwards arrow on top times q with rightwards arrow on top p with rightwards arrow on top times open parentheses p with rightwards arrow on top plus q with rightwards arrow on top close parentheses equals vertical line p with rightwards arrow on top vertical line squared plus 15 square root of 3 p with rightwards arrow on top times open parentheses p with rightwards arrow on top plus q with rightwards arrow on top close parentheses equals 5 squared plus 15 square root of 3 p with rightwards arrow on top times open parentheses p with rightwards arrow on top plus q with rightwards arrow on top close parentheses equals 25 plus 15 square root of 3 end style 

Jadi, nilai begin mathsize 14px style p with rightwards arrow on top times open parentheses p with rightwards arrow on top plus q with rightwards arrow on top close parentheses end style adalah begin mathsize 14px style 25 plus 15 square root of 3 end style       undefined 

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Emanuel Sigalingging

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Diketahui ∣ p ​ ∣ = 5 dan ∣ q → ​ ∣ = 6 . Jika ∠ ( p , q ) = 3 0 ∘ , tentukan hasil dari !

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