Roboguru

Diketahui  dan . Jika , maka vektor  adalah ....

Pertanyaan

Diketahui p with rightwards arrow on top equals open parentheses table row cell negative 2 end cell row 1 row 3 end table close parentheses dan q with rightwards arrow on top equals open parentheses table row 2 row cell negative 7 end cell row 13 end table close parentheses. Jika 3 p with rightwards arrow on top plus 2 r with rightwards arrow on top equals q with rightwards arrow on top, maka vektor r with rightwards arrow on top adalah ....

Pembahasan Soal:

Diketahui p with rightwards arrow on top equals open parentheses table row cell negative 2 end cell row 1 row 3 end table close parentheses dan q with rightwards arrow on top equals open parentheses table row 2 row cell negative 7 end cell row 13 end table close parentheses. Diberikan persamaan 3 p with rightwards arrow on top plus 2 r with rightwards arrow on top equals q with rightwards arrow on top, maka

table attributes columnalign right center left columnspacing 0px end attributes row cell 3 p with rightwards arrow on top plus 2 r with rightwards arrow on top end cell equals cell q with rightwards arrow on top end cell row cell 3 open parentheses table row cell negative 2 end cell row 1 row 3 end table close parentheses plus 2 r with rightwards arrow on top end cell equals cell open parentheses table row 2 row cell negative 7 end cell row 13 end table close parentheses end cell row cell open parentheses table row cell negative 6 end cell row 3 row 9 end table close parentheses plus 2 r with rightwards arrow on top end cell equals cell open parentheses table row 2 row cell negative 7 end cell row 13 end table close parentheses end cell row cell 2 r with rightwards arrow on top end cell equals cell open parentheses table row 2 row cell negative 7 end cell row 13 end table close parentheses minus open parentheses table row cell negative 6 end cell row 3 row 9 end table close parentheses end cell row cell 2 r with rightwards arrow on top end cell equals cell open parentheses table row 8 row cell negative 10 end cell row 4 end table close parentheses end cell row cell r with rightwards arrow on top end cell equals cell 1 half open parentheses table row 8 row cell negative 10 end cell row 4 end table close parentheses end cell row cell r with rightwards arrow on top end cell equals cell open parentheses table row cell 8 over 2 end cell row cell negative 10 over 2 end cell row cell 4 over 2 end cell end table close parentheses end cell row cell r with rightwards arrow on top end cell equals cell open parentheses table row 4 row cell negative 5 end cell row 2 end table close parentheses end cell end table 

Jadi, vektor r with rightwards arrow on top adalah open parentheses table row 4 row cell negative 5 end cell row 2 end table close parentheses

Pembahasan terverifikasi oleh Roboguru

Dijawab oleh:

I. Kumaralalita

Mahasiswa/Alumni Universitas Gadjah Mada

Terakhir diupdate 06 Juni 2021

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

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Pertanyaan yang serupa

Hasil operasi vektor  adalah ...

Pembahasan Soal:

Operasi tersebut adalah penjumlahan dan pengurangan vektor.

open parentheses table row cell negative 4 end cell row 7 end table close parentheses minus open parentheses table row cell negative 3 end cell row cell negative 5 end cell end table close parentheses plus open parentheses table row cell negative 6 end cell row 2 end table close parentheses equals open parentheses table row cell negative 7 end cell row 14 end table close parentheses

Sehingga, open parentheses table row cell negative 4 end cell row 7 end table close parentheses minus open parentheses table row cell negative 3 end cell row cell negative 5 end cell end table close parentheses plus open parentheses table row cell negative 6 end cell row 2 end table close parentheses equals open parentheses table row cell negative 7 end cell row 14 end table close parentheses.

Jadi, pilihan jawaban yang tepat adalah B.

0

Roboguru

Diketahui vektor-vektor , , dan . Hasil dari  adalah ...

Pembahasan Soal:

Kita ingat operasi pada vektor.

3 p with rightwards arrow on top minus q with rightwards arrow on top plus 2 r with rightwards arrow on top equals 3 open parentheses table row 10 row cell negative 3 end cell row 0 end table close parentheses minus open parentheses table row 3 row 2 row cell negative 1 end cell end table close parentheses plus 2 open parentheses table row 0 row 4 row 7 end table close parentheses space space space space space space space space space space space space space space space space space space space equals open parentheses table row 30 row cell negative 9 end cell row 0 end table close parentheses minus open parentheses table row 3 row 2 row cell negative 1 end cell end table close parentheses plus open parentheses table row 0 row 8 row 14 end table close parentheses space space space space space space space space space space space space space space space space space space space equals open parentheses table row 27 row cell negative 3 end cell row 15 end table close parentheses 

Jadi, jawaban yang tepat adalah C.

0

Roboguru

Perhatikan gambar berikut. Pernyataan yang benar adalah ....

Pembahasan Soal:

Perhatikan gambar dibawah ini.



Berdasarkan cara tersebut, maka diperoleh:

begin mathsize 14px style u with rightwards arrow on top equals v with rightwards arrow on top plus w with rightwards arrow on top v with rightwards arrow on top plus w with rightwards arrow on top minus u with rightwards arrow on top equals 0 end style 

Tidak ada pilihan jawaban yang benar. Jjawaban yang benar adalah begin mathsize 14px style v with rightwards arrow on top plus w with rightwards arrow on top minus u with rightwards arrow on top equals 0 end style.

0

Roboguru

Diketahui vektor  dan . Tentukan panjang dari !

Pembahasan Soal:

Diketahui, p with rightwards arrow on top equals open parentheses table row 4 row 1 end table close parentheses dan q with rightwards arrow on top equals open parentheses table row cell negative 1 end cell row 3 end table close parentheses, maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell a with rightwards arrow on top plus b with rightwards arrow on top end cell equals cell open parentheses table row 4 row 1 end table close parentheses plus open parentheses table row cell negative 1 end cell row 3 end table close parentheses end cell row blank equals cell open parentheses table row 3 row 4 end table close parentheses end cell row cell open vertical bar a with rightwards arrow on top plus b with rightwards arrow on top close vertical bar end cell equals cell square root of 3 squared plus 4 squared end root end cell row blank equals cell square root of 25 end cell row blank equals cell 5 space satuan space panjang end cell end table 

Jadi panjang dari table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open vertical bar a with rightwards arrow on top plus b with rightwards arrow on top close vertical bar end cell end table adalah 5 satuan panjang

0

Roboguru

Pada balok  diketahui vektor  mewakili  mewakili , dan  mewakili . Nyatakan hasil operasi vektor berikut dalam  dan . a.

Pembahasan Soal:

Diketahui:

top enclose A B end enclose equals top enclose E F end enclose equals top enclose H G end enclose equals top enclose D C end enclose equals u with rightwards arrow on top top enclose B A end enclose equals top enclose F E end enclose equals top enclose G H end enclose equals top enclose C D end enclose equals negative u with rightwards arrow on top top enclose A D end enclose equals top enclose B C end enclose equals top enclose F G end enclose equals top enclose E H end enclose equals v with rightwards arrow on top top enclose D A end enclose equals top enclose C B end enclose equals top enclose G F end enclose equals top enclose H E end enclose equals negative v with rightwards arrow on top top enclose E A end enclose equals top enclose F B end enclose equals top enclose H D end enclose equals top enclose G C end enclose equals w with rightwards arrow on top top enclose A E end enclose equals top enclose B F end enclose equals top enclose D H end enclose equals top enclose C G end enclose equals negative w with rightwards arrow on top  

Sehingga hasil operasi vektor top enclose A H end enclose plus top enclose D F end enclose plus top enclose B C end enclose:

table attributes columnalign right center left columnspacing 0px end attributes row cell top enclose A H end enclose plus top enclose D F end enclose plus top enclose B C end enclose end cell equals cell open parentheses top enclose A D end enclose plus top enclose D H end enclose close parentheses plus open parentheses top enclose D B end enclose plus top enclose B F end enclose close parentheses plus v with rightwards arrow on top end cell row blank equals cell open parentheses v with rightwards arrow on top minus w with rightwards arrow on top close parentheses plus open parentheses open parentheses top enclose B A end enclose plus top enclose A D end enclose close parentheses minus w with rightwards arrow on top close parentheses plus v with rightwards arrow on top end cell row blank equals cell 2 v with rightwards arrow on top minus w with rightwards arrow on top plus open parentheses open parentheses negative u with rightwards arrow on top plus v with rightwards arrow on top close parentheses minus w with rightwards arrow on top close parentheses end cell row blank equals cell negative u with rightwards arrow on top plus 3 v with rightwards arrow on top minus 2 w with rightwards arrow on top end cell end table 

Jadi, hasil operasi vektor top enclose A H end enclose plus top enclose D F end enclose plus top enclose B C end enclose dalam u with rightwards arrow on top comma space v with rightwards arrow on top comma dan w with rightwards arrow on top adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell u with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell v with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell w with rightwards arrow on top end cell end table.

0

Roboguru

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

Tapi Roboguru masih mau belajar. Menurut kamu pembahasan kali ini sudah membantu, belum?

Membantu

Kurang Membantu

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Belum menemukan yang kamu cari?

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