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Pertanyaan

Diketahui koordinator titik K left parenthesis 3 comma 4 right parenthesis comma space L left parenthesis negative 2 comma 5 right parenthesis dan M left parenthesis 1 comma negative 3 right parenthesis.

a. Tentukan vektor stack K L with rightwards arrow on top dan stack L M with rightwards arrow on top 

b. Tentukan panjang vektor stack K L with rightwards arrow on top dan stack L M with rightwards arrow on top 

c. Tentukan hasil stack K L with rightwards arrow on top minus stack L M with rightwards arrow on top

E. Dwi

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

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Jawaban

hasil stack K L with rightwards arrow on top minus stack L M with rightwards arrow on top adalah open parentheses negative 8 comma 9 close parentheses.

Pembahasan

Diketahui:

K left parenthesis 3 comma 4 right parenthesis L left parenthesis negative 2 comma 5 right parenthesis M open parentheses 1 comma negative 3 close parentheses

a. Vektor stack K L with rightwards arrow on top:

table attributes columnalign right center left columnspacing 0px end attributes row cell stack K L with rightwards arrow on top end cell equals cell open parentheses negative 2 comma 5 close parentheses minus open parentheses 3 comma 4 close parentheses end cell row blank equals cell open parentheses negative 2 minus 3 close parentheses comma open parentheses 5 minus 4 close parentheses end cell row blank equals cell open parentheses negative 5 comma 1 close parentheses end cell end table 

Vektor stack L M with rightwards arrow on top:

table attributes columnalign right center left columnspacing 0px end attributes row cell stack L M with rightwards arrow on top end cell equals cell open parentheses 1 comma negative 3 close parentheses minus open parentheses negative 2 comma 5 close parentheses end cell row blank equals cell open parentheses 1 minus open parentheses negative 2 close parentheses close parentheses comma open parentheses negative 3 minus 5 close parentheses end cell row blank equals cell open parentheses 3 comma negative 8 close parentheses end cell end table 

Jadi, vektor  stack K L with rightwards arrow on top dan stack L M with rightwards arrow on top berturut-turut adalah open parentheses negative 5 comma 1 close parentheses dan open parentheses 3 comma negative 8 close parentheses.

b. Panjang vektor stack K L with rightwards arrow on top:

table attributes columnalign right center left columnspacing 0px end attributes row cell Panjang space vektor space stack K L with rightwards arrow on top end cell equals cell square root of open parentheses negative 5 close parentheses squared plus 1 squared end root end cell row blank equals cell square root of 25 plus 1 end root end cell row blank equals cell square root of 26 end cell end table 

Panjang vektor stack L M with rightwards arrow on top:

table attributes columnalign right center left columnspacing 0px end attributes row cell Panjang space vektor space stack L M with rightwards arrow on top end cell equals cell square root of 3 squared plus open parentheses negative 8 close parentheses squared end root end cell row blank equals cell square root of 9 plus 64 end root end cell row blank equals cell square root of 73 end cell end table

Jadi, panjang vektor  stack K L with rightwards arrow on top dan stack L M with rightwards arrow on top berturut-turut adalah square root of 26 dan square root of 73.

c. Hasil dari stack K L with rightwards arrow on top minus stack L M with rightwards arrow on top:

table attributes columnalign right center left columnspacing 0px end attributes row cell stack K L with rightwards arrow on top minus stack L M with rightwards arrow on top end cell equals cell open parentheses negative 5 comma 1 close parentheses minus open parentheses 3 comma negative 8 close parentheses end cell row blank equals cell open parentheses negative 5 minus 3 close parentheses comma open parentheses 1 minus open parentheses negative 8 close parentheses close parentheses end cell row blank equals cell open parentheses negative 8 comma 9 close parentheses end cell end table 

Jadi, hasil stack K L with rightwards arrow on top minus stack L M with rightwards arrow on top adalah open parentheses negative 8 comma 9 close parentheses.

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