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Diketahui a=(3−4​), b=(27​), c=(−51​), dan d=(7−8​). Tentukan vektor hasil dari: a−b−c

Pertanyaan

Diketahui a with bar on top equals open parentheses table row 3 row cell negative 4 end cell end table close parenthesesb with bar on top equals open parentheses table row 2 row 7 end table close parenthesesc with bar on top equals open parentheses table row cell negative 5 end cell row 1 end table close parentheses, dan d with bar on top equals open parentheses table row 7 row cell negative 8 end cell end table close parentheses. Tentukan vektor hasil dari: a with bar on top minus b with bar on top minus c with bar on top

E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

hasil dari table attributes columnalign right center left columnspacing 0px end attributes row cell a with rightwards arrow on top minus b with rightwards arrow on top minus c with rightwards arrow on top end cell equals cell open parentheses table row 6 row cell negative 12 end cell end table close parentheses end cell end table

Pembahasan

Jawaban yang benar untuk pertanyaan tersebut adalah table attributes columnalign right center left columnspacing 0px end attributes row cell a with rightwards arrow on top minus b with rightwards arrow on top minus c with rightwards arrow on top end cell equals cell open parentheses table row 6 row cell negative 12 end cell end table close parentheses end cell end table.

Misalkan diketahui vektor a with rightwards arrow on top equals open parentheses table row cell x subscript a end cell row cell y subscript a end cell end table close parentheses dan vektor b with rightwards arrow on top equals open parentheses table row cell x subscript b end cell row cell y subscript b end cell end table close parentheses. Pengurangan kedua vektor tersebut dapat ditentukan oleh rumus berikut.

a with rightwards arrow on top minus b with rightwards arrow on top equals open parentheses table row cell x subscript a end cell row cell y subscript a end cell end table close parentheses minus open parentheses table row cell x subscript b end cell row cell y subscript b end cell end table close parentheses equals open parentheses table row cell x subscript a minus x subscript b end cell row cell y subscript a minus y subscript b end cell end table close parentheses

Penyelesaian pengurangan vektor pada soal di atas adalah sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell a with rightwards arrow on top minus b with rightwards arrow on top minus c with rightwards arrow on top end cell equals cell open parentheses table row 3 row cell negative 4 end cell end table close parentheses minus open parentheses table row 2 row 7 end table close parentheses minus open parentheses table row cell negative 5 end cell row 1 end table close parentheses end cell row blank equals cell open parentheses table row cell 3 minus 2 minus open parentheses negative 5 close parentheses end cell row cell negative 4 minus 7 minus 1 end cell end table close parentheses end cell row blank equals cell open parentheses table row 6 row cell negative 12 end cell end table close parentheses end cell end table

Dengan demikian, hasil dari table attributes columnalign right center left columnspacing 0px end attributes row cell a with rightwards arrow on top minus b with rightwards arrow on top minus c with rightwards arrow on top end cell equals cell open parentheses table row 6 row cell negative 12 end cell end table close parentheses end cell end table

5

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Pertanyaan serupa

Diketahui vektor p​=(−56​) dan q​=(7−9​). Tentukan p​−q​.

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Jawaban terverifikasi

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