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Pertanyaan

Diketahui vektor u = 2 ⎝ ⎛ ​ 1 4 − 2 ​ ⎠ ⎞ ​ + 3 ⎝ ⎛ ​ 2 − 1 3 ​ ⎠ ⎞ ​ dan v = 3 2 ​ ⎝ ⎛ ​ 6 0 − 3 ​ ⎠ ⎞ ​ − 2 ⎝ ⎛ ​ 1 4 − 2 ​ ⎠ ⎞ ​ . Tentukan: a. u dan v b. Hasil operasi 2 u − 4 v

Diketahui vektor  dan . Tentukan:

a.  dan

b. Hasil operasi  space 

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I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

.

 table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell u with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell v with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses table row 8 row 42 row 2 end table close parentheses end cell end table.

Pembahasan

a. dan Sehingga, dan . b. Hasil operasi Jadi, .

a. u with rightwards arrow on top dan v with rightwards arrow on top

table attributes columnalign right center left columnspacing 0px end attributes row cell u with rightwards arrow on top end cell equals cell 2 open parentheses table row 1 row 4 row cell negative 2 end cell end table close parentheses plus 3 open parentheses table row 2 row cell negative 1 end cell row 3 end table close parentheses end cell row blank equals cell open parentheses table row cell 2 times 1 end cell row cell 2 times 4 end cell row cell 2 times open parentheses negative 2 close parentheses end cell end table close parentheses plus open parentheses table row cell 3 times 2 end cell row cell 3 times open parentheses negative 1 close parentheses end cell row cell 3 times 3 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell 2 plus 6 end cell row cell 8 minus 3 end cell row cell negative 4 plus 9 end cell end table close parentheses end cell row blank equals cell open parentheses table row 8 row 5 row 5 end table close parentheses end cell row cell v with rightwards arrow on top end cell equals cell 2 over 3 open parentheses table row 6 row 0 row cell negative 3 end cell end table close parentheses minus 2 open parentheses table row 1 row 4 row cell negative 2 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell 2 over 3 times 6 end cell row cell 2 over 3 times 0 end cell row cell 2 over 3 times open parentheses negative 3 close parentheses end cell end table close parentheses minus open parentheses table row cell 2 times 1 end cell row cell 2 times 4 end cell row cell 2 times open parentheses negative 2 close parentheses end cell end table close parentheses end cell row blank equals cell open parentheses table row cell 4 minus 2 end cell row cell 0 minus 8 end cell row cell negative 2 plus 4 end cell end table close parentheses end cell row blank equals cell open parentheses table row 2 row cell negative 8 end cell row 2 end table close parentheses end cell end table 

Sehingga, table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell u with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses table row 8 row 5 row 5 end table close parentheses end cell end table dan table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell v with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses table row 2 row cell negative 8 end cell row 2 end table close parentheses end cell end table.

b. Hasil operasi 2 u with rightwards arrow on top minus 4 v with rightwards arrow on top 

table attributes columnalign right center left columnspacing 0px end attributes row cell 2 u with rightwards arrow on top minus 4 v with rightwards arrow on top end cell equals cell 2 open parentheses table row 8 row 5 row 5 end table close parentheses minus 4 open parentheses table row 2 row cell negative 8 end cell row 2 end table close parentheses end cell row blank equals cell open parentheses table row cell 2 times 8 end cell row cell 2 times 5 end cell row cell 2 times 5 end cell end table close parentheses minus open parentheses table row cell 4 times 2 end cell row cell 4 times open parentheses negative 8 close parentheses end cell row cell 4 times 2 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell 16 minus 8 end cell row cell 10 plus 32 end cell row cell 10 minus 8 end cell end table close parentheses end cell row blank equals cell open parentheses table row 8 row 42 row 2 end table close parentheses end cell end table 

Jadi, table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell u with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell v with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses table row 8 row 42 row 2 end table close parentheses end cell end table.

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