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Jika diketahui A(1, 2) dan B(6, 5), maka tentukanlah! Maka vektor ∣∣​BA∣∣​=....

Pertanyaan

Jika diketahui begin mathsize 14px style straight A left parenthesis 1 comma space 2 right parenthesis space dan space straight B left parenthesis 6 comma space 5 right parenthesis end style, maka tentukanlah!

Maka vektor begin mathsize 14px style open vertical bar top enclose B A end enclose close vertical bar equals end style....

 

  1. ...

  2. ...undefined 

S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Jawaban

 begin mathsize 14px style bottom enclose begin bold style vertical line top enclose B A end enclose vertical line end style bold equals square root of bold 34 end enclose end style satuan panjang.

Pembahasan

Diketahui dua titik begin mathsize 14px style straight A left parenthesis 1 comma space 2 right parenthesis space dan space straight B left parenthesis 6 comma space 5 right parenthesis end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell top enclose B A end enclose end cell equals cell A with rightwards arrow on top minus B with rightwards arrow on top end cell row blank equals cell open parentheses 1 comma space 2 close parentheses minus open parentheses 6 comma space 5 close parentheses end cell row blank equals cell left parenthesis 1 minus 6 comma space 2 minus 5 right parenthesis end cell row blank equals cell left parenthesis negative 5 comma space minus 3 right parenthesis 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 stack B A with bar on top close vertical bar end cell equals cell square root of open parentheses negative 5 close parentheses squared plus open parentheses negative 3 close parentheses squared end root end cell row blank equals cell square root of 25 plus 9 end root end cell row blank equals cell square root of 34 end cell end table end style 

Jadi, begin mathsize 14px style bottom enclose begin bold style vertical line top enclose B A end enclose vertical line end style bold equals square root of bold 34 end enclose end style satuan panjang.

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