Roboguru

Diketahui vektor , , dan . Tentukan hasil dari: a.

Diketahui vektor begin mathsize 14px style p with rightwards arrow on top equals negative 4 i with rightwards arrow on top minus 7 j with rightwards arrow on top end stylebegin mathsize 14px style q with rightwards arrow on top equals negative i with rightwards arrow on top plus 3 j with rightwards arrow on top end style, dan begin mathsize 14px style r with rightwards arrow on top equals 2 i with rightwards arrow on top plus j with rightwards arrow on top end style. Tentukan hasil dari:

a. begin mathsize 14px style p with rightwards arrow on top minus 3 q with rightwards arrow on top plus r with rightwards arrow on top end style 

Jawaban:

Dengan menerapkan konsep penjumlahan dan pengurangan vektor secara aljabar, diperoleh perhitungan sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell p with rightwards arrow on top minus 3 q with rightwards arrow on top plus r with rightwards arrow on top end cell equals cell open parentheses table row cell negative 4 end cell row cell negative 7 end cell end table close parentheses minus 3 open parentheses table row cell negative 1 end cell row 3 end table close parentheses plus open parentheses table row 2 row 1 end table close parentheses end cell row blank equals cell open parentheses table row cell negative 4 end cell row cell negative 7 end cell end table close parentheses minus open parentheses table row cell negative 3 end cell row 9 end table close parentheses plus open parentheses table row 2 row 1 end table close parentheses end cell row blank equals cell open parentheses table row 1 row cell negative 15 end cell end table close parentheses end cell end table end style 

Dengan demikian, vektor begin mathsize 14px style p with rightwards arrow on top minus 3 q with rightwards arrow on top plus r with rightwards arrow on top end style adalah begin mathsize 14px style i with rightwards arrow on top minus 15 j with rightwards arrow on top end style.

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