Pada jajargenjang di atas, AB⇀ mewakili u⇀ dan AD⇀ mewakili v⇀. Sederhanakan persamaan berikut dan nyatakan ke dalam  dan . c. PA⇀+PB⇀+PC⇀+PD⇀

Pertanyaan

Pada jajargenjang di atas, begin mathsize 14px style stack A B with rightwards harpoon with barb upwards on top end style mewakili begin mathsize 14px style u with rightwards harpoon with barb upwards on top end style dan begin mathsize 14px style stack A D with rightwards harpoon with barb upwards on top end style mewakili begin mathsize 14px style v with rightwards harpoon with barb upwards on top end style. Sederhanakan persamaan berikut dan nyatakan ke dalam begin mathsize 14px style u with rightwards harpoon with barb upwards on top end style dan begin mathsize 14px style v with rightwards harpoon with barb upwards on top end style.

c. begin mathsize 14px style stack P A with rightwards harpoon with barb upwards on top plus stack P B with rightwards harpoon with barb upwards on top plus stack P C with rightwards harpoon with barb upwards on top plus stack P D with rightwards harpoon with barb upwards on top end style 

  1. begin mathsize 14px style horizontal ellipsis end style 

  2. begin mathsize 14px style horizontal ellipsis end style 

M. Mariyam

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Pembahasan

Pada jajargenjang di atas, begin mathsize 14px style stack A B with rightwards harpoon with barb upwards on top end style mewakili begin mathsize 14px style u with rightwards harpoon with barb upwards on top end style dan begin mathsize 14px style stack A D with rightwards harpoon with barb upwards on top end style mewakili begin mathsize 14px style v with rightwards harpoon with barb upwards on top end style. Sederhanakan persamaan berikut dan nyatakan ke dalam begin mathsize 14px style u with rightwards harpoon with barb upwards on top end style dan begin mathsize 14px style v with rightwards harpoon with barb upwards on top end style.

c. begin mathsize 14px style stack P A with rightwards harpoon with barb upwards on top plus stack P B with rightwards harpoon with barb upwards on top plus stack P C with rightwards harpoon with barb upwards on top plus stack P D with rightwards harpoon with barb upwards on top end style 

Jawab : karena undefined merupakan titik potong pada diagonal jajargenjang, maka undefined terletak di tengah diagonal undefined dan undefined 

Diketahui :

begin mathsize 14px style stack A B with rightwards harpoon with barb upwards on top equals u with rightwards harpoon with barb upwards on top rightwards double arrow stack B A with rightwards harpoon with barb upwards on top equals negative u with rightwards harpoon with barb upwards on top stack A D with rightwards harpoon with barb upwards on top equals v with rightwards harpoon with barb upwards on top rightwards double arrow stack D A with rightwards harpoon with barb upwards on top equals negative v with rightwards harpoon with barb upwards on top end style  

 

karena begin mathsize 14px style stack C B with rightwards harpoon with barb upwards on top end style sejajar dengan begin mathsize 14px style stack D A with rightwards harpoon with barb upwards on top end style, maka begin mathsize 14px style stack C B with rightwards harpoon with barb upwards on top equals stack D A with rightwards harpoon with barb upwards on top equals negative v with rightwards harpoon with barb upwards on top end style sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell stack P A with rightwards harpoon with barb upwards on top end cell equals cell 1 half stack C A with rightwards harpoon with barb upwards on top end cell row blank equals cell 1 half open parentheses stack C B with rightwards harpoon with barb upwards on top plus stack B A with rightwards harpoon with barb upwards on top close parentheses end cell row blank equals cell 1 half open parentheses negative v with rightwards harpoon with barb upwards on top plus open parentheses negative u with rightwards harpoon with barb upwards on top close parentheses close parentheses end cell row blank equals cell negative 1 half v with rightwards harpoon with barb upwards on top minus 1 half u with rightwards harpoon with barb upwards on top end cell end table end style 

kemudian,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell stack P B with rightwards harpoon with barb upwards on top end cell equals cell 1 half stack D B with rightwards harpoon with barb upwards on top end cell row blank equals cell 1 half open parentheses stack D A with rightwards harpoon with barb upwards on top plus stack A B with rightwards harpoon with barb upwards on top close parentheses end cell row blank equals cell 1 half open parentheses negative v with rightwards harpoon with barb upwards on top plus u with rightwards harpoon with barb upwards on top close parentheses end cell row blank equals cell negative 1 half v with rightwards harpoon with barb upwards on top plus 1 half u with rightwards harpoon with barb upwards on top end cell end table end style 

karena begin mathsize 14px style stack B C with rightwards harpoon with barb upwards on top end style sejajar dengan begin mathsize 14px style stack A D with rightwards harpoon with barb upwards on top end style, maka begin mathsize 14px style stack B C with rightwards harpoon with barb upwards on top equals stack A D with rightwards harpoon with barb upwards on top equals v with rightwards harpoon with barb upwards on top end style  sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell stack P C with rightwards harpoon with barb upwards on top end cell equals cell 1 half stack A C with rightwards harpoon with barb upwards on top end cell row blank equals cell 1 half open parentheses stack A B with rightwards harpoon with barb upwards on top plus stack B C with rightwards harpoon with barb upwards on top close parentheses end cell row blank equals cell 1 half open parentheses u with rightwards harpoon with barb upwards on top plus v with rightwards harpoon with barb upwards on top close parentheses end cell row blank equals cell 1 half u with rightwards harpoon with barb upwards on top plus 1 half v with rightwards harpoon with barb upwards on top end cell end table end style 

kemudian,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell stack P D with rightwards harpoon with barb upwards on top end cell equals cell 1 half stack B D with rightwards harpoon with barb upwards on top end cell row blank equals cell 1 half open parentheses stack B A with rightwards harpoon with barb upwards on top plus stack A D with rightwards harpoon with barb upwards on top close parentheses end cell row blank equals cell 1 half open parentheses negative u with rightwards harpoon with barb upwards on top plus v with rightwards harpoon with barb upwards on top close parentheses end cell row blank equals cell negative 1 half u with rightwards harpoon with barb upwards on top plus 1 half v with rightwards harpoon with barb upwards on top end cell end table end style 

 

Jadi, 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell stack space P A with rightwards harpoon with barb upwards on top plus stack P B with rightwards harpoon with barb upwards on top plus stack P C with rightwards harpoon with barb upwards on top plus stack P D with rightwards harpoon with barb upwards on top end cell row blank equals cell negative 1 half v with rightwards harpoon with barb upwards on top minus 1 half u with rightwards harpoon with barb upwards on top minus 1 half v with rightwards harpoon with barb upwards on top plus 1 half u with rightwards harpoon with barb upwards on top plus 1 half u with rightwards harpoon with barb upwards on top plus 1 half v with rightwards harpoon with barb upwards on top minus 1 half u with rightwards harpoon with barb upwards on top plus 1 half v with rightwards harpoon with barb upwards on top end cell row blank equals cell negative v with rightwards harpoon with barb upwards on top plus v with rightwards harpoon with barb upwards on top end cell row blank equals 0 row blank blank blank end table end style 

 

 

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