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Vektor posisi r membagi ruas PR menjadi dua bagian dengan perbandingan PQ ​ : QR ​ = 1 : 2 . Jika a = i + 5 j ​ + 3 k dan b = 2 i − j ​ + 4 k , , maka vektor adalah ....

Vektor posisi  membagi ruas PR menjadi dua bagian dengan perbandingan . Jika   dan , maka vektor r with rightwards arrow on top adalah ....

  1. negative 4 over 3 k with rightwards arrow on top plus 3 j with rightwards arrow on top plus 10 over 3 k with rightwards arrow on top

  2. negative 4 over 3 k with rightwards arrow on top plus 3 j with rightwards arrow on top minus 10 over 3 k with rightwards arrow on top

  3. 4 over 3 k with rightwards arrow on top plus 3 j with rightwards arrow on top plus 10 over 3 k with rightwards arrow on top

  4. 4 over 3 k with rightwards arrow on top minus 3 j with rightwards arrow on top plus 10 over 3 k with rightwards arrow on top

  5. 4 over 3 k with rightwards arrow on top plus 3 j with rightwards arrow on top minus 10 over 3 k with rightwards arrow on top

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Ingat: Jadi,

Ingat:

 

Jadi, 

r with rightwards arrow on top equals fraction numerator m space b with rightwards arrow on top plus n space a with rightwards arrow on top space over denominator m plus n end fraction equals space fraction numerator open parentheses 1 close parentheses open parentheses 2 i with ⃗ on top minus j with ⃗ on top plus 4 k with ⃗ on top close parentheses plus open parentheses 2 close parentheses open parentheses i with ⃗ on top plus 5 j with ⃗ on top plus 3 k with ⃗ on top close parentheses space over denominator 1 plus 2 end fraction equals fraction numerator 2 i with ⃗ on top minus j with ⃗ on top plus 4 k with ⃗ on top space plus stack 2 i with ⃗ on top plus 10 j with ⃗ on top plus 6 k with ⃗ on top space space over denominator 3 end fraction equals fraction numerator 4 i with ⃗ on top plus 9 j with ⃗ on top plus 10 k with ⃗ on top over denominator 3 end fraction equals 4 over 3 i with ⃗ on top plus 9 over 3 j with ⃗ on top plus 10 over 3 k with ⃗ on top equals 4 over 3 i with ⃗ on top plus 3 j with ⃗ on top plus 10 over 3 k with ⃗ on top

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Diketahui vektor-vektor a = i + 2 j ​ − 3 k , b = 3 i + 5 j ​ , c = − 2 i − 4 j ​ + k dan vektor u = 2 a + b − c . Vektor u = ....

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