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Jika , maka hitunglah !

Pertanyaan

Jika a with rightwards harpoon with barb upwards on top equals i plus 3 j minus 2 k comma space b with rightwards harpoon with barb upwards on top equals 4 i minus 2 j plus 4 k, maka hitunglah open parentheses a with rightwards harpoon with barb upwards on top plus b with rightwards harpoon with barb upwards on top close parentheses times open parentheses a with rightwards harpoon with barb upwards on top minus b with rightwards harpoon with barb upwards on top close parentheses!

Pembahasan Soal:

table attributes columnalign right center left columnspacing 0px end attributes row cell a with rightwards harpoon with barb upwards on top end cell equals cell i plus 3 j minus 2 k comma space b with rightwards harpoon with barb upwards on top equals 4 i minus 2 j plus 4 k end cell row cell open parentheses a with rightwards harpoon with barb upwards on top plus b with rightwards harpoon with barb upwards on top close parentheses end cell equals cell open square brackets table row 1 row 3 row cell negative 2 end cell end table close square brackets plus open square brackets table row 4 row cell negative 2 end cell row 4 end table close square brackets end cell row blank equals cell open square brackets table row 5 row 1 row 2 end table close square brackets end cell row cell open parentheses a with rightwards harpoon with barb upwards on top minus b with rightwards harpoon with barb upwards on top close parentheses end cell equals cell open square brackets table row 1 row 3 row cell negative 2 end cell end table close square brackets minus open square brackets table row 4 row cell negative 2 end cell row 4 end table close square brackets end cell row blank equals cell open square brackets table row cell negative 3 end cell row 5 row cell negative 6 end cell end table close square brackets end cell row cell open parentheses a with rightwards harpoon with barb upwards on top plus b with rightwards harpoon with barb upwards on top close parentheses times open parentheses a with rightwards harpoon with barb upwards on top minus b with rightwards harpoon with barb upwards on top close parentheses end cell equals cell open square brackets table row 5 row 1 row 2 end table close square brackets times open square brackets table row cell negative 3 end cell row 5 row cell negative 6 end cell end table close square brackets end cell row blank equals cell open square brackets table row cell negative 15 plus 25 plus open parentheses negative 30 close parentheses end cell row cell negative 3 plus 5 plus open parentheses negative 6 close parentheses end cell row cell negative 6 plus 10 plus open parentheses negative 12 close parentheses end cell end table close square brackets end cell row blank equals cell open square brackets table row cell negative 20 end cell row cell negative 4 end cell row cell negative 8 end cell end table close square brackets end cell row blank equals cell negative 20 i minus 4 j minus 8 k end cell end table   

Jadi, open parentheses a with rightwards harpoon with barb upwards on top plus b with rightwards harpoon with barb upwards on top close parentheses times open parentheses a with rightwards harpoon with barb upwards on top minus b with rightwards harpoon with barb upwards on top close parentheses equals negative 20 i minus 4 j minus 8 k.

Pembahasan terverifikasi oleh Roboguru

Dijawab oleh:

Y. Herlanda

Mahasiswa/Alumni STKIP PGRI Jombang

Terakhir diupdate 06 Juni 2021

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

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Pertanyaan yang serupa

Jika vektor  dan , vektor  yang memenuhi operasi  adalah ...

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 3 v with rightwards arrow on top plus 2 w with rightwards arrow on top end cell equals cell u with rightwards arrow on top minus v with rightwards arrow on top end cell row cell 2 w with rightwards arrow on top end cell equals cell u with rightwards arrow on top minus 4 v with rightwards arrow on top end cell row cell 2 w with rightwards arrow on top end cell equals cell open parentheses table row 4 row 6 end table close parentheses minus 4 open parentheses table row 3 row cell negative 1 end cell end table close parentheses end cell row cell 2 w with rightwards arrow on top end cell equals cell open parentheses table row cell 4 minus 4 times 3 end cell row cell 6 minus 4 times open parentheses negative 1 close parentheses end cell end table close parentheses end cell row cell 2 w with rightwards arrow on top end cell equals cell open parentheses table row cell negative 8 end cell row 10 end table close parentheses end cell row cell w with rightwards arrow on top end cell equals cell 1 half open parentheses table row cell negative 8 end cell row 10 end table close parentheses end cell row cell w with rightwards arrow on top end cell equals cell open parentheses table row cell negative 4 end cell row 5 end table close parentheses end cell end table end style 

Jadi, jawaban yang tepat adalah C.

0

Roboguru

Jika  dan , tentukan vektor-vektor berikut dan hitung juga besarnya. a.

Pembahasan Soal:

Jika sebuah vektor dikalikan dengan skalar, maka masing-masing elemen vektor tersebut dikalikan dengan skalar. Sehingga, 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 4 bold italic p end cell equals cell 4 times open parentheses table row cell negative 5 end cell row 12 end table close parentheses end cell row blank equals cell open parentheses table row cell 4 times left parenthesis negative 5 right parenthesis end cell row cell 4 times 12 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell negative 20 end cell row 48 end table close parentheses end cell end table end style 

Jadi, hasil dari Error converting from MathML to accessible text.adalah begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses table row cell negative 20 end cell row 48 end table close parentheses end cell end table end style.

0

Roboguru

Diketahui  dan . Tentukan vektor-vektor berikut. a.

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 4 a with rightwards arrow on top end cell equals cell 4 open parentheses table row 2 row cell negative 3 end cell end table close parentheses end cell row blank equals cell open parentheses table row 8 row cell negative 12 end cell end table close parentheses end cell end table end style 

Dengan demikian, hasil dari undefinedadalah begin mathsize 14px style open parentheses table row 8 row cell negative 12 end cell end table close parentheses end style . 

0

Roboguru

Jika diketahui , maka nilai dari  adalah ....

Pembahasan Soal:

Pada perkalian suatu vektor a with rightwards harpoon with barb upwards on top equals a subscript 1 i with rightwards harpoon with barb upwards on top plus a subscript 2 j with rightwards harpoon with barb upwards on top dengan skalar k, maka

 k a with rightwards harpoon with barb upwards on top equals k a subscript 1 i with rightwards harpoon with barb upwards on top plus k a subscript 2 j with rightwards harpoon with barb upwards on top

Oleh karena a with rightwards harpoon with barb upwards on top equals negative 3 i with rightwards harpoon with barb upwards on top plus 6 j with rightwards harpoon with barb upwards on top, maka 

table attributes columnalign right center left columnspacing 0px end attributes row cell 2 a with rightwards harpoon with barb upwards on top end cell equals cell open parentheses 2 close parentheses open parentheses negative 3 close parentheses i with rightwards harpoon with barb upwards on top plus open parentheses 2 close parentheses open parentheses 6 close parentheses j with rightwards harpoon with barb upwards on top end cell row blank equals cell negative 6 i with rightwards harpoon with barb upwards on top plus 12 j with rightwards harpoon with barb upwards on top end cell end table

Jadi, nilai dari 2 a with rightwards harpoon with barb upwards on top adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell negative 6 i with rightwards harpoon with barb upwards on top plus 12 j with rightwards harpoon with barb upwards on top end cell end table.

Oleh karena itu, jawaban yang benar adalah D.space 

0

Roboguru

Jika vektor  dan vektor . Tentukan hasil dari: c.

Pembahasan Soal:

Vektor begin mathsize 14px style a with rightwards arrow on top equals open parentheses table row 12 row 10 end table close parentheses end style dan vektor begin mathsize 14px style b with rightwards arrow on top equals open parentheses table row 11 row 19 end table close parentheses end style. Hasil dari begin mathsize 14px style 1 half a with rightwards arrow on top plus 3 b with rightwards arrow on top end style seperti berikut: 

1 half a with rightwards arrow on top plus 3 b with rightwards arrow on top equals 1 half open parentheses table row 12 row 10 end table close parentheses plus 3 open parentheses table row 11 row 19 end table close parentheses space space space space space space space space space space space space space space equals open parentheses table row 6 row 5 end table close parentheses plus open parentheses table row 33 row 57 end table close parentheses space space space space space space space space space space space space space space equals open parentheses table row 39 row 62 end table close parentheses   

Maka, 1 half a with rightwards arrow on top plus 3 b with rightwards arrow on top equals open parentheses table row 39 row 62 end table close parentheses .  

0

Roboguru

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

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