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Diketahui , , dan . Tentukan vektor-vektor berikut. c.

Pertanyaan

Diketahui begin mathsize 14px style a with rightwards arrow on top equals open parentheses table row 2 row cell negative 3 end cell end table close parentheses end stylebegin mathsize 14px style b with rightwards arrow on top equals open parentheses table row cell negative 3 end cell row 5 end table close parentheses end style, dan begin mathsize 14px style c with rightwards arrow on top equals open parentheses table row 6 row 4 end table close parentheses end style.

Tentukan vektor-vektor berikut.

c. begin mathsize 14px style a with rightwards arrow on top plus b with rightwards arrow on top plus c with rightwards arrow on top end style 

Pembahasan Soal:

Gunakan konsep penjumlahan dua vektor sebagai berikut:

begin mathsize 14px style m with rightwards arrow on top plus n with rightwards arrow on top equals open parentheses table row e row f end table close parentheses plus open parentheses table row g row h end table close parentheses equals open parentheses table row cell e plus g end cell row cell f plus h end cell end table close parentheses end style 

Perhatikan perhitungan sebagai berikut:

begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell a with rightwards arrow on top plus b with rightwards arrow on top plus c with rightwards arrow on top end cell equals cell open parentheses table row 2 row cell negative 3 end cell end table close parentheses plus open parentheses table row cell negative 3 end cell row 5 end table close parentheses plus open parentheses table row 6 row 4 end table close parentheses end cell row blank equals cell open parentheses table row cell 2 plus open parentheses negative 3 close parentheses plus 6 end cell row cell negative 3 plus 5 plus 4 end cell end table close parentheses end cell row cell a with rightwards arrow on top plus b with rightwards arrow on top plus c with rightwards arrow on top end cell equals cell open parentheses table row 5 row 6 end table close parentheses end cell end table end style  

Jadi, diperoleh begin mathsize 14px style a with rightwards arrow on top plus b with rightwards arrow on top plus c with rightwards arrow on top equals open parentheses table row 5 row 6 end table close parentheses end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 14 Maret 2021

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