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Pertanyaan

Diketahui A left parenthesis minus sign 2 comma space 1 comma space 3 right parenthesisB left parenthesis minus sign 3 comma space 1 comma space 2 right parenthesis, dan C left parenthesis 3 comma space 2 comma minus sign 1 right parenthesis. Jika a with rightwards arrow on top, b with rightwards arrow on top, dan c with rightwards arrow on top merupakan vektor posisi dari A, B, dan C, nyatakan vektor berikut ke dalam bentuk vektor satuan i with rightwards arrow on top comma space j with rightwards arrow on top comma space dan space k with rightwards arrow on top.

c. 3 c with rightwards arrow on top plus 4 a with rightwards arrow on top minus 5 b with rightwards arrow on top 

I. Kumaralalita

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

hasil dari 3 c with rightwards arrow on top plus 4 a with rightwards arrow on top minus 5 b with rightwards arrow on top dalam vektor satuan adalah 16 i with rightwards arrow on top plus 5 j with rightwards arrow on top minus k with rightwards arrow on top.

Pembahasan

Diketahui A left parenthesis minus sign 2 comma space 1 comma space 3 right parenthesisB left parenthesis minus sign 3 comma space 1 comma space 2 right parenthesis, dan C left parenthesis 3 comma space 2 comma minus sign 1 right parenthesis.

DIberikan a with rightwards arrow on top, b with rightwards arrow on top, dan c with rightwards arrow on top merupakan vektor posisi dari A, B, dan C, maka a with rightwards arrow on top equals negative 2 i with rightwards arrow on top plus j with rightwards arrow on top plus 3 k with rightwards arrow on top, b with rightwards arrow on top equals negative 3 i with rightwards arrow on top plus j with rightwards arrow on top plus 2 k with rightwards arrow on top, dan c with rightwards arrow on top equals 3 i with rightwards arrow on top plus 2 j with rightwards arrow on top minus k with rightwards arrow on top. Dengan demikian,

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 3 c with rightwards arrow on top plus 4 a with rightwards arrow on top minus 5 b with rightwards arrow on top end cell row blank equals cell 3 open parentheses table row 3 row 2 row cell negative 1 end cell end table close parentheses plus 4 open parentheses table row cell negative 2 end cell row 1 row 3 end table close parentheses minus 5 open parentheses table row cell negative 3 end cell row 1 row 2 end table close parentheses end cell row blank equals cell open square brackets open parentheses table row 9 row 6 row cell negative 3 end cell end table close parentheses plus open parentheses table row cell negative 8 end cell row 4 row 12 end table close parentheses close square brackets minus open parentheses table row cell negative 15 end cell row 5 row 10 end table close parentheses end cell row blank equals cell open parentheses table row 1 row 10 row 9 end table close parentheses minus open parentheses table row cell negative 15 end cell row 5 row 10 end table close parentheses end cell row blank equals cell open parentheses table row 16 row 5 row cell negative 1 end cell end table close parentheses end cell end table 

Jadi, hasil dari 3 c with rightwards arrow on top plus 4 a with rightwards arrow on top minus 5 b with rightwards arrow on top dalam vektor satuan adalah 16 i with rightwards arrow on top plus 5 j with rightwards arrow on top minus k with rightwards arrow on top.

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