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Diketahui vektor . Tentukan nilai  jika: b.  sega...

Diketahui vektor begin mathsize 14px style p with rightwards arrow on top equals open parentheses table row 6 row 5 row 0 end table close parentheses comma space q with rightwards arrow on top equals space open parentheses table row 0 row 2 row 1 end table close parentheses comma space dan space r with rightwards arrow on top equals space open parentheses table row 12 row y row z end table close parentheses end style. Tentukan nilai begin mathsize 14px style y space dan space z end style jika:

b. begin mathsize 14px style r with rightwards arrow on top end style segaris dengan begin mathsize 14px style p with rightwards arrow on top end style.

Jawaban:

Dua vektor segaris, maka ada suatu konstanta begin mathsize 14px style k end style, sehingga begin mathsize 14px style r with rightwards arrow on top equals k. p with rightwards arrow on top end style.

begin mathsize 14px style space space space space space space r with rightwards arrow on top equals k. p with rightwards arrow on top open parentheses table row 12 row y row z end table close parentheses equals k. open parentheses table row 6 row 5 row 0 end table close parentheses open parentheses table row 12 row y row z end table close parentheses equals open parentheses table row cell 6 k end cell row cell 5 k end cell row 0 end table close parentheses 12 equals 6 k space space space space space space space space y equals 5 k space space space space space space space space space space z equals 0 space space k equals 2 space space space space space space space space space space space y equals 5.2 space space space space space space space space space space space space space space space space space space space space space y equals 10 end style  

Jadi, begin mathsize 14px style y equals 10 space dan space z equals 0 end style.

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