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Pertanyaan

Diketahui vektor a with rightwards arrow on top equals open parentheses table row 3 row 4 row 5 end table close parentheses, vektor b with rightwards arrow on top equals open parentheses table row 4 row cell negative 5 end cell row 6 end table close parentheses, dan vektor c with rightwards arrow on top equals open parentheses table row 9 row cell negative 8 end cell row 7 end table close parentheses.

b. Tunjukkan apakah

(ii) a with rightwards arrow on top plus c with rightwards arrow on top equals c with rightwards arrow on top plus a with rightwards arrow on top 

H. Eka

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Pembahasan

Jawaban yang benar untuk pertanyaan tersebut adalah Error converting from MathML to accessible text..

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 row cell z 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 row cell z subscript b end cell end table close parentheses.

Jika c with rightwards arrow on top equals a with rightwards arrow on top plus b with rightwards arrow on top, maka vektor c with rightwards arrow on top ditentukan oleh:

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

text Vektor end text space a with rightwards arrow on top equals text vektor end text space b with rightwards arrow on top jika dan hanya jika x subscript a equals x subscript by subscript a equals y subscript b, dan z subscript a equals z subscript b.

Vektor a with rightwards arrow on top plus c with rightwards arrow on top dan c with rightwards arrow on top plus a with rightwards arrow on top dapat ditentukan sebagai berikut.

a with rightwards arrow on top plus c with rightwards arrow on top equals open parentheses table row 3 row 4 row 5 end table close parentheses plus open parentheses table row 9 row cell negative 8 end cell row 7 end table close parentheses equals open parentheses table row 12 row cell negative 4 end cell row 12 end table close parentheses

c with rightwards arrow on top plus a with rightwards arrow on top equals open parentheses table row 9 row cell negative 8 end cell row 7 end table close parentheses plus open parentheses table row 3 row 4 row 5 end table close parentheses equals open parentheses table row 12 row cell negative 4 end cell row 12 end table close parentheses

Diperoleh

a with rightwards arrow on top plus c with rightwards arrow on top equals c with rightwards arrow on top plus a with rightwards arrow on top equals open parentheses table row 12 row cell negative 4 end cell row 12 end table close parentheses

Dengan demikian, dapat ditunjukkan bahwa a with rightwards arrow on top plus c with rightwards arrow on top equals c with rightwards arrow on top plus a with rightwards arrow on top.

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Diketahui vektor a=⎝⎛​345​⎠⎞​, vektor b=⎝⎛​4−56​⎠⎞​, dan vektor c=⎝⎛​9−87​⎠⎞​. b. Tunjukkan apakah (iii) b+c=c+b

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