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Diketahui titik  dan . Tentukan: b. Koordinat tit...

Diketahui titik begin mathsize 14px style P open parentheses 2 comma space 5 comma space minus 4 close parentheses end style dan begin mathsize 14px style Q open parentheses 1 comma space 0 comma space minus 3 close parentheses end style. Tentukan:

b. Koordinat titik begin mathsize 14px style S end style jika begin mathsize 14px style stack R S with rightwards arrow on top end style merupakan negatif vektor begin mathsize 14px style stack P Q with rightwards arrow on top end style jika titik begin mathsize 14px style R open parentheses negative 1 comma space 3 comma space 2 close parentheses end style 

Jawaban:

Misal koordinat titik begin mathsize 14px style S open parentheses x comma space y comma space z close parentheses end style, dapat ditentukan kesamaan dua vektor sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell stack R S with rightwards arrow on top end cell equals cell negative stack P Q with rightwards arrow on top end cell row cell S minus R end cell equals cell negative open parentheses Q minus P close parentheses end cell row cell open parentheses table row x row y row z end table close parentheses minus open parentheses table row cell negative 1 end cell row 3 row 2 end table close parentheses end cell equals cell negative open square brackets open parentheses table row 1 row 0 row cell negative 3 end cell end table close parentheses minus open parentheses table row 2 row 5 row cell negative 4 end cell end table close parentheses close square brackets end cell row cell open parentheses table row x row y row z end table close parentheses minus open parentheses table row cell negative 1 end cell row 3 row 2 end table close parentheses end cell equals cell negative open parentheses table row cell negative 1 end cell row cell negative 5 end cell row 1 end table close parentheses end cell row cell open parentheses table row x row y row z end table close parentheses minus open parentheses table row cell negative 1 end cell row 3 row 2 end table close parentheses end cell equals cell open parentheses table row 1 row 5 row cell negative 1 end cell end table close parentheses end cell row cell open parentheses table row x row y row z end table close parentheses end cell equals cell open parentheses table row 1 row 5 row cell negative 1 end cell end table close parentheses plus open parentheses table row cell negative 1 end cell row 3 row 2 end table close parentheses end cell row cell open parentheses table row x row y row z end table close parentheses end cell equals cell open parentheses table row 0 row 8 row 1 end table close parentheses end cell end table end style

Dengan demikian, koordinat titik begin mathsize 14px style S open parentheses 0 comma space 8 comma space 1 close parentheses end style.

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