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Diberikan dua buah vektor a ⇀ = − i ⇀ + j ⇀ ​ + p k ⇀ , p > 0 d an b ⇀ = 3 i ⇀ − 3 j ⇀ ​ . Jika ∣ ∣ ​ a ⇀ ∣ ∣ ​ = ∣ ∣ ​ b ⇀ ∣ ∣ ​ , maka carilah vektor satuan a ⇀ dan ( a ⇀ − b ⇀ ) .

Diberikan dua buah vektor , . Jika  , maka carilah vektor satuan  dan .

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  2. undefined 

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Y. Endah

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Perhatikan , ,

Perhatikan 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar end cell equals cell square root of open parentheses negative 1 close parentheses squared plus 1 squared plus p squared end root end cell row cell open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar end cell equals cell square root of 2 plus p squared end root end cell row cell open vertical bar b with rightwards harpoon with barb upwards on top close vertical bar end cell equals cell square root of open parentheses 3 close parentheses squared plus open parentheses negative 3 close parentheses squared end root end cell row cell open vertical bar b with rightwards harpoon with barb upwards on top close vertical bar end cell equals cell square root of 18 end cell row cell open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar end cell equals cell open vertical bar b with rightwards harpoon with barb upwards on top close vertical bar end cell row cell square root of 2 plus p squared end root end cell equals cell square root of 18 end cell row cell 2 plus p squared end cell equals 18 row cell p squared end cell equals 16 row p equals cell plus-or-minus 4 end cell end table end style 

  • begin mathsize 14px style p equals 4 end style , begin mathsize 14px style a with rightwards harpoon with barb upwards on top equals left parenthesis negative 1 comma space 1 comma space 4 right parenthesis comma space vektor space satuan space a with rightwards harpoon with barb upwards on top equals 3 square root of 2 open parentheses negative 1 comma space 1 comma space 4 close parentheses end style 
  • size 14px p size 14px equals size 14px minus size 14px 4 , begin mathsize 14px style a with rightwards harpoon with barb upwards on top equals left parenthesis negative 1 comma space 1 comma space minus 4 right parenthesis comma space vektor space satuan space a with rightwards harpoon with barb upwards on top equals 3 square root of 2 open parentheses negative 1 comma space 1 comma space minus 4 close parentheses end style 

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