Roboguru

Jika , , dan . Tentukan "panjang" vektor .

Pertanyaan

Jika begin mathsize 14px style straight a with rightwards harpoon with barb upwards on top equals open parentheses table row 3 row cell negative 2 end cell end table close parentheses end stylebegin mathsize 14px style straight b with rightwards harpoon with barb upwards on top equals open parentheses table row 1 row 0 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 cell negative 5 end cell row 4 end table close parentheses end style. Tentukan "panjang" vektor begin mathsize 14px style straight d with rightwards harpoon with barb upwards on top equals straight a with rightwards harpoon with barb upwards on top plus straight b with rightwards harpoon with barb upwards on top minus straight c with rightwards harpoon with barb upwards on top end style.

Pembahasan Soal:

Perhatikan perhitungan berikut.

Ingat, panjang vektor:

begin mathsize 14px style open vertical bar straight a with rightwards harpoon with barb upwards on top close vertical bar equals square root of x squared plus y squared end root end style

Maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight d with rightwards harpoon with barb upwards on top end cell equals cell straight a with rightwards harpoon with barb upwards on top plus straight b with rightwards harpoon with barb upwards on top minus straight c with rightwards harpoon with barb upwards on top end cell row blank equals cell open parentheses table row 3 row cell negative 2 end cell end table close parentheses plus open parentheses table row 1 row 0 end table close parentheses minus open parentheses table row cell negative 5 end cell row 4 end table close parentheses end cell row blank equals cell open parentheses table row cell 3 plus 1 end cell row cell negative 2 plus 0 end cell end table close parentheses minus open parentheses table row cell negative 5 end cell row 4 end table close parentheses end cell row blank equals cell open parentheses table row 4 row cell negative 2 end cell end table close parentheses minus open parentheses table row cell negative 5 end cell row 4 end table close parentheses end cell row blank equals cell open parentheses table row cell 4 minus open parentheses negative 5 close parentheses end cell row cell negative 2 minus 4 end cell end table close parentheses end cell row blank equals cell open parentheses table row 9 row cell negative 6 end cell end table close parentheses end cell end table end style

sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar straight d with rightwards harpoon with barb upwards on top close vertical bar end cell equals cell square root of 9 squared plus open parentheses negative 6 close parentheses squared end root end cell row blank equals cell square root of 81 plus 36 end root end cell row blank equals cell square root of 117 end cell end table end style

Jadi, begin mathsize 14px style open vertical bar straight d with rightwards harpoon with barb upwards on top close vertical bar end style adalah begin mathsize 14px style square root of 117 end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 01 April 2021

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