Diketahui a=−2i+4j​, b=−6j​, dan vektor c→=−3i→+5j→​. Tentukan hasil dari: d. a⋅(b−c)

Pertanyaan

Diketahui begin mathsize 14px style a with rightwards arrow on top equals negative 2 i with rightwards arrow on top plus 4 j with rightwards arrow on top comma space b with rightwards arrow on top equals negative 6 j with rightwards arrow on top comma end style dan vektor size 14px c with size 14px rightwards arrow on top size 14px equals size 14px minus size 14px 3 size 14px i with size 14px rightwards arrow on top size 14px plus size 14px 5 size 14px j with size 14px rightwards arrow on top. Tentukan hasil dari:

d. begin mathsize 14px style a with rightwards arrow on top times left parenthesis b with rightwards arrow on top minus c with rightwards arrow on top right parenthesis end style  

H. Hermawan

Master Teacher

Mahasiswa/Alumni Universitas Lampung

Jawaban terverifikasi

Jawaban

nilai dari Error converting from MathML to accessible text..

Pembahasan

Dengan menggunakan rumus dot product dan pengurangan vektor, maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight a with rightwards arrow on top times open parentheses straight b with rightwards arrow on top minus straight c with rightwards arrow on top close parentheses end cell equals cell open parentheses table row cell negative 2 end cell row 4 end table close parentheses times open parentheses open parentheses table row 0 row cell negative 6 end cell end table close parentheses minus open parentheses table row cell negative 3 end cell row 5 end table close parentheses close parentheses end cell row blank equals cell open parentheses table row cell negative 2 end cell row 4 end table close parentheses times open parentheses table row 3 row cell negative 11 end cell end table close parentheses end cell row blank equals cell open parentheses negative 6 close parentheses plus left parenthesis negative 44 right parenthesis end cell row blank equals cell negative 50 end cell end table end style 

Jadi, nilai dari Error converting from MathML to accessible text..

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Buktikan bahwa a⋅(b+c) bersifat distributif!

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