Roboguru

Diketahui  ,  dan . Hitunglah: b.

Pertanyaan

Diketahui begin mathsize 14px style straight a with rightwards harpoon with barb upwards on top equals open parentheses table row cell negative 4 end cell row cell negative 5 end cell end table close parentheses end style , begin mathsize 14px style straight b with rightwards harpoon with barb upwards on top equals open parentheses table row 6 row 2 end table close parentheses end style dan begin mathsize 14px style straight c with rightwards harpoon with barb upwards on top equals open parentheses table row 3 row cell negative 4 end cell end table close parentheses end style. Hitunglah:

b. begin mathsize 14px style straight b with rightwards harpoon with barb upwards on top minus 2 straight c with rightwards harpoon with barb upwards on top end style 

Pembahasan Soal:

Operasi pengurangan 2 vektor secara aljabar:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 straight c with rightwards harpoon with barb upwards on top end cell equals cell 2 open parentheses table row 3 row cell negative 4 end cell end table close parentheses end cell row blank equals cell open parentheses table row 6 row cell negative 8 end cell end table close parentheses end cell end table end style 

Maka:

 undefined 

Jadi, begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight b with rightwards harpoon with barb upwards 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 straight c with rightwards harpoon with barb upwards on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses table row 0 row 10 end table close parentheses end cell end table end style.

Pembahasan terverifikasi oleh Roboguru

Dijawab oleh:

R. RGFLLIMA

Terakhir diupdate 30 April 2021

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Pertanyaan yang serupa

Vektor-vektor posisi dari A, B, dan C adalah . Hitunglah setiap vektor berikut: d. .

Pembahasan Soal:

Diketahui: 

begin mathsize 14px style straight a with rightwards arrow on top equals open parentheses table row 4 row 3 end table close parentheses comma space straight b with rightwards arrow on top equals open parentheses table row cell negative 2 end cell row 3 end table close parentheses comma space straight c with rightwards arrow on top equals open parentheses table row 1 row 5 end table close parentheses end style

Mencari begin mathsize 14px style straight a with rightwards arrow on top minus straight b with rightwards arrow on top plus straight c with rightwards arrow on top end style:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight a with rightwards arrow on top minus straight b with rightwards arrow on top plus straight c with rightwards arrow on top end cell equals cell open parentheses table row 4 row 3 end table close parentheses minus open parentheses table row cell negative 2 end cell row 3 end table close parentheses plus open parentheses table row 1 row 5 end table close parentheses end cell row blank equals cell open parentheses table row cell 4 minus left parenthesis negative 2 right parenthesis plus 1 end cell row cell 3 minus 3 plus 5 end cell end table close parentheses end cell row blank equals cell open parentheses table row 7 row 5 end table close parentheses end cell end table end style 

Jadi, hasil vektornya adalah begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight a 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 cell straight b 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 cell straight c with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses table row 7 row 5 end table close parentheses end cell end table end style.

0

Roboguru

Jika , , dan , tentukan hasil operasi vektor berikut. a.

Pembahasan Soal:

Jika a with rightwards arrow on top equals open parentheses table row 5 row cell negative 3 end cell end table close parentheses, b with rightwards arrow on top equals open parentheses table row cell negative 2 end cell row cell negative 4 end cell end table close parentheses, dan c with rightwards arrow on top equals open parentheses table row 4 row 1 end table close parentheses, maka

table attributes columnalign right center left columnspacing 0px end attributes row cell a with rightwards arrow on top minus left parenthesis b with rightwards arrow on top plus c with rightwards arrow on top right parenthesis end cell equals cell open parentheses table row 5 row cell negative 3 end cell end table close parentheses minus open parentheses open parentheses table row cell negative 2 end cell row cell negative 4 end cell end table close parentheses plus open parentheses table row 4 row 1 end table close parentheses close parentheses end cell row blank equals cell open parentheses table row 5 row cell negative 3 end cell end table close parentheses minus 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 3 row 0 end table close parentheses end cell end table

Jadi, a with rightwards arrow on top minus left parenthesis b with rightwards arrow on top plus c with rightwards arrow on top right parenthesis equals open parentheses table row 3 row 0 end table close parentheses.

0

Roboguru

Diketahui vektor-vektor . Nyatakan setiap vektor berikut ke dalam vektor satuan  dan tentukan besarnya. c.

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 a with rightwards arrow on top minus b with rightwards arrow on top plus 3 c with rightwards arrow on top end cell equals cell 2 left parenthesis 2 i with rightwards arrow on top minus 3 j with rightwards arrow on top right parenthesis minus left parenthesis negative 4 i with rightwards arrow on top minus j with rightwards arrow on top right parenthesis plus 3 left parenthesis negative i with rightwards arrow on top plus 2 j with rightwards arrow on top right parenthesis end cell row blank equals cell left parenthesis 4 i with rightwards arrow on top minus 6 j with rightwards arrow on top right parenthesis minus left parenthesis negative 4 i with rightwards arrow on top minus j with rightwards arrow on top right parenthesis plus left parenthesis negative 3 i with rightwards arrow on top plus 6 j with rightwards arrow on top right parenthesis end cell row blank equals cell 5 i with rightwards arrow on top plus j with rightwards arrow on top end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar 2 a with rightwards arrow on top minus b with rightwards arrow on top plus 3 c with rightwards arrow on top close vertical bar end cell equals cell square root of 5 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 end style 

jadi vektor 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 a 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 cell b 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 c with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 5 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell i 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 cell j with rightwards arrow on top end cell end table

dan besar vektor 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 a 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 cell b 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 c with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open vertical bar 2 a with rightwards arrow on top minus b with rightwards arrow on top plus 3 c with rightwards arrow on top close vertical bar end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 26 end cell end table

0

Roboguru

Diketahui kubus ABCD.EFGH dengan , , dan. Tentukan hasil operasi !

Pembahasan Soal:

Perhatikan ilustrasi berikut.

Dengan konsep penjumlahan vektor metode jajar genjang kita dapat,

table attributes columnalign right center left columnspacing 0px end attributes row cell straight a with rightwards arrow on top plus straight b with rightwards arrow on top plus straight c with rightwards arrow on top end cell equals cell open parentheses straight a with rightwards arrow on top plus straight b with rightwards arrow on top close parentheses plus straight c with rightwards arrow on top end cell row blank equals cell AC with rightwards arrow on top plus straight c with rightwards arrow on top end cell row blank equals cell AC with rightwards arrow on top plus AE with rightwards arrow on top end cell row blank equals cell AG with rightwards arrow on top end cell end table 

Jadi, straight a with rightwards arrow on top plus straight b with rightwards arrow on top plus straight c with rightwards arrow on top adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell AG with rightwards arrow on top end cell end table

0

Roboguru

Diketahui  adalah...

Pembahasan Soal:

a with rightwards arrow on top equals 2 i with rightwards arrow on top minus j with rightwards arrow on top equals open parentheses table row 2 row cell negative 1 end cell row 0 end table close parentheses  b with rightwards arrow on top equals 2 i with rightwards arrow on top minus k with rightwards arrow on top equals open parentheses table row 2 row 0 row cell negative 1 end cell end table close parentheses  c with rightwards arrow on top equals 3 i with rightwards arrow on top plus j with rightwards arrow on top plus 2 k with rightwards arrow on top equals open parentheses table row 3 row 1 row 2 end table close parentheses  a with rightwards arrow on top plus 2 b with rightwards arrow on top minus c with rightwards arrow on top  open parentheses table row 2 row cell negative 1 end cell row 0 end table close parentheses plus 2 open parentheses table row 2 row 0 row cell negative 1 end cell end table close parentheses minus open parentheses table row 3 row 1 row 2 end table close parentheses  open parentheses table row 2 row cell negative 1 end cell row 0 end table close parentheses plus open parentheses table row 4 row 0 row cell negative 2 end cell end table close parentheses minus open parentheses table row 3 row 1 row 2 end table close parentheses  open parentheses table row 3 row cell negative 2 end cell row cell negative 4 end cell end table close parentheses  3 i minus 2 j minus 4 k

0

Roboguru

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

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