Pertanyaan

Diketahui ∣ a ⃗ ∣ = √2 , ∣ b ⃗ ∣ = 3 , ∣ a ⃗ + b ⃗ ∣ = √5 maka sudut antara a d an b adalah ...

Diketahui $∣ a ⃗ ∣ = \sqrt2, ∣ b ⃗ ∣ = 3, ∣ a ⃗ + b ⃗ ∣ = \sqrt5$ maka sudut antara $a d an b$ adalah ...

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F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

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$open vertical bar a with rightwards arrow on top plus b with rightwards arrow on top close vertical bar equals square root of 5 open vertical bar a with rightwards arrow on top plus b with rightwards arrow on top close vertical bar squared equals open parentheses square root of 5 close parentheses squared open parentheses a with rightwards arrow on top plus b with rightwards arrow on top close parentheses bullet open parentheses a with rightwards arrow on top plus b with rightwards arrow on top close parentheses equals 5 a with rightwards arrow on top bullet a with rightwards arrow on top plus a with rightwards arrow on top bullet b with rightwards arrow on top plus b with rightwards arrow on top bullet a with rightwards arrow on top plus b with rightwards arrow on top bullet b with rightwards arrow on top equals 5 open vertical bar a with rightwards arrow on top close vertical bar squared plus 2 a with rightwards arrow on top bullet b with rightwards arrow on top plus open vertical bar b with rightwards arrow on top close vertical bar squared equals 5 open vertical bar a with rightwards arrow on top close vertical bar squared plus 2 open vertical bar a with rightwards arrow on top close vertical bar open vertical bar b with rightwards arrow on top close vertical bar cos invisible function application angle open parentheses a with rightwards arrow on top comma b with rightwards arrow on top close parentheses plus open vertical bar b with rightwards arrow on top close vertical bar squared equals 5 open parentheses square root of 2 close parentheses squared plus 2 open parentheses square root of 2 close parentheses open parentheses 3 close parentheses cos invisible function application angle open parentheses a with rightwards arrow on top comma b with rightwards arrow on top close parentheses plus open parentheses 3 close parentheses squared equals 5 2 plus 6 square root of 2 cos invisible function application angle open parentheses a with rightwards arrow on top comma b with rightwards arrow on top close parentheses plus 9 equals 5 6 square root of 2 cos invisible function application angle open parentheses a with rightwards arrow on top comma b with rightwards arrow on top close parentheses plus 11 equals 5 6 square root of 2 cos invisible function application angle open parentheses a with rightwards arrow on top comma b with rightwards arrow on top close parentheses equals negative 6 cos invisible function application angle open parentheses a with rightwards arrow on top comma b with rightwards arrow on top close parentheses equals fraction numerator negative 6 over denominator 6 square root of 2 end fraction cos invisible function application angle open parentheses a with rightwards arrow on top comma b with rightwards arrow on top close parentheses equals negative 1 half square root of 2$

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