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Diketahui koordinat titik K(2,−1), L(−5,3), dan M(−1,−5). Tentukan: a. vektor KL⇀ dan KM⇀ b. hasil KL⇀+KM⇀ c. hasil 3KL⇀−2KM⇀

Pertanyaan

Diketahui koordinat titik begin mathsize 14px style K left parenthesis 2 comma negative 1 right parenthesis end stylebegin mathsize 14px style L left parenthesis negative 5 comma 3 right parenthesis end style, dan begin mathsize 14px style M left parenthesis negative 1 comma negative 5 right parenthesis end style. Tentukan:

a. vektor begin mathsize 14px style KL with rightwards harpoon with barb upwards on top end style dan begin mathsize 14px style KM with rightwards harpoon with barb upwards on top end style

b. hasil begin mathsize 14px style KL with rightwards harpoon with barb upwards on top plus KM with rightwards harpoon with barb upwards on top end style

c. hasil begin mathsize 14px style 3 KL with rightwards harpoon with barb upwards on top minus 2 KM with rightwards harpoon with barb upwards on top end style 

K. Prameswari

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Pembahasan

Berdasarkan koordinat titik di atas, dapat diperoleh

a. begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell KL with rightwards harpoon with barb upwards on top end cell equals cell OL with rightwards harpoon with barb upwards on top minus OK with rightwards harpoon with barb upwards on top end cell row blank equals cell open parentheses negative 5 comma space 3 close parentheses minus open parentheses 2 comma space minus 1 close parentheses end cell row blank equals cell open parentheses negative 5 minus 2 comma space 3 minus left parenthesis negative 1 right parenthesis close parentheses end cell row blank equals cell left parenthesis negative 7 comma space 4 right parenthesis end cell end table end style dan begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell KM with rightwards harpoon with barb upwards on top end cell equals cell OM with rightwards harpoon with barb upwards on top minus OK with rightwards harpoon with barb upwards on top end cell row blank equals cell left parenthesis negative 1 comma space minus 5 right parenthesis minus left parenthesis 2 comma space minus 1 right parenthesis end cell row blank equals cell left parenthesis negative 1 minus 2 comma space minus 5 minus left parenthesis negative 1 right parenthesis right parenthesis end cell row blank equals cell left parenthesis negative 3 comma space minus 4 right parenthesis end cell end table end style 

 

b. begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell KL with rightwards harpoon with barb upwards on top plus KM with rightwards harpoon with barb upwards on top end cell equals cell open parentheses negative 7 comma space 4 close parentheses plus open parentheses negative 3 comma space minus 4 close parentheses end cell row blank equals cell open parentheses negative 7 plus left parenthesis negative 3 right parenthesis comma space 4 plus left parenthesis negative 4 right parenthesis close parentheses end cell row blank equals cell open parentheses negative 10 comma space 0 close parentheses end cell end table end style 

 

c. begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 3 KL with rightwards harpoon with barb upwards on top minus 2 KM with rightwards harpoon with barb upwards on top end cell equals cell 3 open parentheses negative 7 comma space 4 close parentheses minus 2 open parentheses negative 3 comma space minus 4 close parentheses end cell row blank equals cell open parentheses negative 21 comma space 12 close parentheses minus open parentheses negative 6 comma space minus 8 close parentheses end cell row blank equals cell open parentheses negative 21 minus left parenthesis negative 6 right parenthesis comma space 12 minus left parenthesis negative 8 right parenthesis close parentheses end cell row blank equals cell open parentheses negative 15 comma space 20 close parentheses end cell end table end style 

161

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