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Jika diketahui P = ( 1 − 2 ​ − 3 5 ​ ) dan Q = ( 2 3 ​ − 1 − 4 ​ ) , tentukanlah: d. P 2 + 2 PQ + Q 2

Jika diketahui  dan  , tentukanlah:

d.  

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N. Puspita

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Jawaban terverifikasi

Jawaban

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 table attributes columnalign right center left columnspacing 0px end attributes row cell straight P squared plus 2 PQ plus straight Q squared end cell equals cell open parentheses table row cell negative 6 end cell 6 row 4 8 end table close parentheses end cell end table.

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Diketahui dan . Maka: Sehingga: Jadi, .

Diketahui straight P equals open parentheses table row 1 cell negative 3 end cell row cell negative 2 end cell 5 end table close parentheses dan  straight Q equals open parentheses table row 2 cell negative 1 end cell row 3 cell negative 4 end cell end table close parentheses. Maka:

table attributes columnalign right center left columnspacing 0px end attributes row PQ equals cell open parentheses table row 1 cell negative 3 end cell row cell negative 2 end cell 5 end table close parentheses open parentheses table row 2 cell negative 1 end cell row 3 cell negative 4 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell 2 minus 9 end cell cell negative 1 plus 12 end cell row cell negative 4 plus 15 end cell cell 2 minus 20 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell negative 7 end cell 11 row 11 cell negative 18 end cell end table close parentheses end cell end table  

Sehingga:

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight P squared plus 2 PQ plus straight Q squared end cell equals cell open parentheses table row 1 cell negative 3 end cell row cell negative 2 end cell 5 end table close parentheses squared plus 2 space open parentheses table row cell negative 7 end cell 11 row 11 cell negative 18 end cell end table close parentheses plus open parentheses table row 2 cell negative 1 end cell row 3 cell negative 4 end cell end table close parentheses squared end cell row blank equals cell open parentheses table row 1 cell negative 3 end cell row cell negative 2 end cell 5 end table close parentheses open parentheses table row 1 cell negative 3 end cell row cell negative 2 end cell 5 end table close parentheses plus space open parentheses table row cell negative 14 end cell 22 row 22 cell negative 36 end cell end table close parentheses plus open parentheses table row 2 cell negative 1 end cell row 3 cell negative 4 end cell end table close parentheses open parentheses table row 2 cell negative 1 end cell row 3 cell negative 4 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell 1 plus 6 end cell cell negative 3 minus 15 end cell row cell negative 2 minus 10 end cell cell 6 plus 25 end cell end table close parentheses plus space open parentheses table row cell negative 14 end cell 22 row 22 cell negative 36 end cell end table close parentheses plus open parentheses table row cell 4 minus 3 end cell cell negative 2 plus 4 end cell row cell 6 minus 12 end cell cell negative 3 plus 16 end cell end table close parentheses end cell row blank equals cell open parentheses table row 7 cell negative 18 end cell row cell negative 12 end cell 31 end table close parentheses plus open parentheses table row cell negative 14 end cell 22 row 22 cell negative 36 end cell end table close parentheses plus open parentheses table row 1 2 row cell negative 6 end cell 13 end table close parentheses end cell row blank equals cell open parentheses table row cell 7 minus 14 plus 1 end cell cell negative 18 plus 22 plus 2 end cell row cell negative 12 plus 22 minus 6 end cell cell 31 minus 36 plus 13 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell negative 6 end cell 6 row 4 8 end table close parentheses end cell end table end style 

Jadi, table attributes columnalign right center left columnspacing 0px end attributes row cell straight P squared plus 2 PQ plus straight Q squared end cell equals cell open parentheses table row cell negative 6 end cell 6 row 4 8 end table close parentheses end cell end table.

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