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Diketahui vektor  dan . Tentukan hasil operasi-operasi vektor berikut. 4)

Pertanyaan

Diketahui vektor begin mathsize 14px style d with rightwards arrow on top equals open parentheses table row 2 row 1 end table close parentheses comma space e with rightwards arrow on top equals open parentheses table row cell negative 4 end cell row 2 end table close parentheses comma end style dan begin mathsize 14px style f with rightwards arrow on top equals open parentheses table row 0 row 5 end table close parentheses end style.

Tentukan hasil operasi-operasi vektor berikut.

4) begin mathsize 14px style negative 3 d with rightwards arrow on top plus 4 e with rightwards arrow on top minus 2 f with rightwards arrow on top end style    

Pembahasan Soal:

Gunakan konsep penjumlahan dan pengurangan vektor serta perkalian vektor dengan skalar.

Perhatikan perhitungan berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell negative 3 d with rightwards arrow on top plus 4 e with rightwards arrow on top minus 2 f with rightwards arrow on top end cell equals cell negative 3 open parentheses table row 2 row 1 end table close parentheses plus 4 open parentheses table row cell negative 4 end cell row 2 end table close parentheses minus 2 open parentheses table row 0 row 5 end table close parentheses end cell row blank equals cell open parentheses table row cell negative 6 end cell row cell negative 3 end cell end table close parentheses plus open parentheses table row cell negative 16 end cell row 8 end table close parentheses minus open parentheses table row 0 row 10 end table close parentheses end cell row blank equals cell open parentheses table row cell negative 6 plus open parentheses negative 16 close parentheses minus 0 end cell row cell negative 3 plus 8 minus 10 end cell end table close parentheses end cell row cell negative 3 d with rightwards arrow on top plus 4 e with rightwards arrow on top minus 2 f with rightwards arrow on top end cell equals cell open parentheses table row cell negative 22 end cell row cell negative 5 end cell end table close parentheses end cell end table end style 

Jadi, diperoleh hasil operasinya adalah begin mathsize 14px style negative 3 d with rightwards arrow on top plus 4 e with rightwards arrow on top minus 2 f with rightwards arrow on top equals open parentheses table row cell negative 22 end cell row cell negative 5 end cell end table close parentheses end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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