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

Pertanyaan

Jika vektor begin mathsize 14px style u with rightwards arrow on top equals open parentheses table row 4 row 6 end table close parentheses space dan space v with rightwards arrow on top equals open parentheses table row 3 row cell negative 1 end cell end table close parentheses end style, vektor begin mathsize 14px style w with rightwards arrow on top end style yang memenuhi operasi begin mathsize 14px style 3 v with rightwards arrow on top plus 2 w with rightwards arrow on top equals u with rightwards arrow on top minus v with rightwards arrow on top end style adalah ....

Pembahasan Video:

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 4 row 6 end table close parentheses minus open parentheses table row 12 row cell negative 4 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 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.

Pembahasan terverifikasi oleh Roboguru

Dijawab oleh:

F. Freelancer4

Terakhir diupdate 03 Mei 2021

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Pertanyaan yang serupa

Diketahui vektor dan searah. (i) (ii) (iii) Pernyataan yang benar adalah

Pembahasan Soal:

Karena vektor begin mathsize 14px style straight u with rightwards arrow on top space dan space straight v with rightwards arrow on top end style searah, maka berlaku penjumlahan vektor begin mathsize 14px style open vertical bar straight u with rightwards arrow on top plus straight v with rightwards arrow on top close vertical bar equals open vertical bar straight u with rightwards arrow on top close vertical bar plus open vertical bar straight v with rightwards arrow on top close vertical bar end style. Untuk yang pengurangan vektor hanya berlaku jika vektor berlawanan arah.

Jadi, jawaban yang tepat adalah A.

0

Roboguru

Hasil operasi vektor  adalah ...

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 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 end cell equals cell open parentheses table row cell negative 4 minus left parenthesis negative 3 right parenthesis plus left parenthesis negative 6 right parenthesis end cell row cell 7 minus left parenthesis negative 5 right parenthesis plus 2 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell negative 7 end cell row 14 end table close parentheses end cell end table end style 

Jadi, jawaban yang tepat adalah B.

0

Roboguru

Dari vektor-vektor berikut, lukis resultan dari persoalan berikut. d.

Pembahasan Soal:

        

0

Roboguru

Diketahui ,  dan . Tentukan .

Pembahasan Soal:

Diketahui begin mathsize 14px style x with rightwards harpoon with barb upwards on top equals left parenthesis 6 comma 4 right parenthesis end stylebegin mathsize 14px style y with rightwards harpoon with barb upwards on top equals left parenthesis 2 comma 5 right parenthesis end style dan begin mathsize 14px style z with rightwards harpoon with barb upwards on top equals left parenthesis negative 1 comma 3 right parenthesis end style, maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell stack x y with rightwards harpoon with barb upwards on top minus stack x z with rightwards harpoon with barb upwards on top end cell equals cell open parentheses y with rightwards harpoon with barb upwards on top minus x with rightwards harpoon with barb upwards on top close parentheses minus open parentheses z with rightwards harpoon with barb upwards on top minus x with rightwards harpoon with barb upwards on top close parentheses end cell row blank equals cell y with rightwards harpoon with barb upwards on top minus x with rightwards harpoon with barb upwards on top minus z with rightwards harpoon with barb upwards on top plus x with rightwards harpoon with barb upwards on top end cell row blank equals cell y with rightwards harpoon with barb upwards on top minus z with rightwards harpoon with barb upwards on top end cell row blank equals cell open parentheses 2 comma 5 close parentheses minus open parentheses negative 1 comma 3 close parentheses end cell row blank equals cell open parentheses 3 comma 2 close parentheses end cell end table end style 

0

Roboguru

Jika  dan , nilai  adalah ...

Pembahasan Soal:

Diketahui:

Dua buah vektor begin mathsize 14px style straight p with rightwards arrow on top equals open parentheses table row cell negative 3 end cell row 1 end table close parentheses end style dan begin mathsize 14px style straight q with rightwards arrow on top equals open parentheses table row 4 row 2 end table close parentheses end style.

Diperoleh:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar straight p with rightwards arrow on top minus straight q with rightwards arrow on top close vertical bar end cell equals cell square root of open parentheses negative 3 minus 4 close parentheses squared plus open parentheses 1 minus 2 close parentheses squared end root end cell row blank equals cell square root of open parentheses negative 7 close parentheses squared plus open parentheses negative 1 close parentheses squared end root end cell row blank equals cell square root of 49 plus 1 end root end cell row blank equals cell square root of 50 end cell row blank equals cell square root of 25 cross times 2 end root end cell row blank equals cell 5 square root of 2 end cell end table end style

Maka, nilai begin mathsize 14px style open vertical bar straight p with rightwards arrow on top minus straight q with rightwards arrow on top close vertical bar end style adalah begin mathsize 14px style 5 square root of 2 end style.

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Roboguru

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

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