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Pertanyaan

ABCD adalah bidang empat (bukan segi empat), A B , A C , A D mewakili vektor a , b dan c . 5. Nyatakan dalam vektor yang mewakili PR , jika P dan R adalah titk tengah AB dan CD.

ABCD adalah bidang empat (bukan segi empat), mewakili vektor .

5. Nyatakan dalam begin mathsize 14px style straight a with rightwards arrow on top comma space straight b with rightwards arrow on top space dan space straight c with rightwards arrow on top end style  vektor yang mewakili , jika P dan R adalah titk tengah AB dan CD.

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Jawaban terverifikasi

Jawaban

vektor PR yang dinyatakan dalam adalah .

vektor PR yang dinyatakan dalam begin mathsize 14px style straight a with rightwards arrow on top comma space straight b with rightwards arrow on top space dan space straight c with rightwards arrow on top end style adalah begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell stack P R 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 minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 half end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 half end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell b 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 cell 1 half end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell c with rightwards arrow on top end cell end table end style.

Pembahasan

Perhatikan gambar. Vektor PR dapat dinyatakan dalam penjumlahan metode poligon yaitu Jadi, vektor PR yang dinyatakan dalam adalah .

Perhatikan gambar.

Vektor PR dapat dinyatakan dalam penjumlahan metode poligon yaitu

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell stack P R with rightwards arrow on top end cell equals cell stack P A with rightwards arrow on top plus stack A D with rightwards arrow on top plus stack D R with rightwards arrow on top end cell row blank equals cell stack P A with rightwards arrow on top plus stack A D with rightwards arrow on top plus 1 half open parentheses stack D C with rightwards arrow on top close parentheses end cell row blank equals cell stack P A with rightwards arrow on top plus stack A D with rightwards arrow on top plus 1 half open parentheses stack D A with rightwards arrow on top plus stack A C with rightwards arrow on top close parentheses end cell row blank equals cell negative 1 half a with rightwards arrow on top plus c with rightwards arrow on top plus 1 half open parentheses stack negative c with rightwards arrow on top plus b with rightwards arrow on top close parentheses end cell row cell stack P R with rightwards arrow on top end cell equals cell negative 1 half a with rightwards arrow on top plus 1 half b with rightwards arrow on top minus 1 half c with rightwards arrow on top end cell end table end style

Jadi, vektor PR yang dinyatakan dalam begin mathsize 14px style straight a with rightwards arrow on top comma space straight b with rightwards arrow on top space dan space straight c with rightwards arrow on top end style adalah begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell stack P R 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 minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 half end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 half end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell b 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 cell 1 half end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell c with rightwards arrow on top end cell end table end style.

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