Roboguru

Diketahui vektor  dan . Jika , maka tentukan: a. nilai  b. vektor  dan

Pertanyaan

Diketahui vektor begin mathsize 14px style u with rightwards arrow on top equals open parentheses table row cell 1 half m minus 1 end cell row cell negative 5 end cell end table close parentheses end style dan begin mathsize 14px style v with rightwards arrow on top equals open parentheses table row cell negative 2 end cell row cell 3 minus 2 n end cell end table close parentheses end style. Jika begin mathsize 14px style u with rightwards arrow on top equals v with rightwards arrow on top end style, maka tentukan:

a. nilai begin mathsize 14px style m minus n end style

b. vektor begin mathsize 14px style u with rightwards arrow on top end style dan size 14px v with size 14px rightwards arrow on top

Pembahasan Soal:

Diketahui vektor begin mathsize 14px style u with rightwards arrow on top equals open parentheses table row cell 1 half m minus 1 end cell row cell negative 5 end cell end table close parentheses end style dan begin mathsize 14px style v with rightwards arrow on top equals open parentheses table row cell negative 2 end cell row cell 3 minus 2 n end cell end table close parentheses end style. Karena begin mathsize 14px style u with rightwards arrow on top equals v with rightwards arrow on top end style, maka

begin mathsize 14px style open parentheses table row cell 1 half m minus 1 end cell row cell negative 5 end cell end table close parentheses equals open parentheses table row cell negative 2 end cell row cell 3 minus 2 n end cell end table close parentheses end style

sehingga diperoleh

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 1 half m minus 1 end cell equals cell negative 2 end cell row cell 1 half m end cell equals cell negative 1 end cell row m equals cell negative 2 end cell end table end style

dan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell negative 5 end cell equals cell 3 minus 2 n end cell row cell negative 8 end cell equals cell negative 2 n end cell row 4 equals n end table end style

Akibatnya

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell m minus n end cell equals cell negative 2 minus 4 end cell row cell m minus n end cell equals cell negative 6 end cell end table end style

dan vektor begin mathsize 14px style u with rightwards arrow on top equals v with rightwards arrow on top equals open parentheses table row cell negative 2 end cell row cell negative 5 end cell end table close parentheses end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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