Roboguru

Diberikan dua vektor dan , sudut yang terbentuk , maka nilai

Diberikan dua vektor begin mathsize 14px style n with rightwards harpoon with barb upwards on top equals open parentheses table row 2 row 3 row cell square root of 5 end cell end table close parentheses end style dan begin mathsize 14px style m with rightwards harpoon with barb upwards on top equals open parentheses table row cell negative square root of 5 end cell row 3 row 2 end table close parentheses end style, sudut yang terbentuk begin mathsize 14px style angle open parentheses n with rightwards harpoon with barb upwards on top comma m with rightwards harpoon with barb upwards on top close parentheses equals 60 degree end style, maka nilai begin mathsize 14px style n with rightwards harpoon with barb upwards on top times m with rightwards harpoon with barb upwards on top equals horizontal ellipsis end style 

  1. 3space 

  2. 6space 

  3. 9space 

  4. 12space 

  5. 18space 

Jawaban:

Diketahui begin mathsize 14px style n with rightwards harpoon with barb upwards on top equals open parentheses table row 2 row 3 row cell square root of 5 end cell end table close parentheses end style dan begin mathsize 14px style m with rightwards harpoon with barb upwards on top equals open parentheses table row cell negative square root of 5 end cell row 3 row 2 end table close parentheses end style begin mathsize 14px style angle open parentheses n with rightwards harpoon with barb upwards on top comma m with rightwards harpoon with barb upwards on top close parentheses equals 60 degree end style, maka dot productnya adalah sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell n with rightwards harpoon with barb upwards on top times m with rightwards harpoon with barb upwards on top end cell equals cell open vertical bar n with rightwards harpoon with barb upwards on top close vertical bar times open vertical bar m with rightwards harpoon with barb upwards on top close vertical bar times cos angle open parentheses n with rightwards harpoon with barb upwards on top comma m with rightwards harpoon with barb upwards on top close parentheses end cell row blank equals cell square root of 2 squared plus 3 squared plus open parentheses square root of 5 close parentheses squared end root times square root of open parentheses negative square root of 5 close parentheses squared plus 3 squared plus 2 squared end root times cos space 60 degree end cell row blank equals cell square root of 18 times square root of 18.1 half end cell row blank equals cell 18.1 half end cell row blank equals 9 end table end style

Jadi, jawaban yang tepat adalah C.

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