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Pertanyaan

Diketahui vektor u ⇀ = ( 13 3 ​ ) , v ⇀ = ( 2 m + 1 6 ​ ) dan w ⇀ = ( − 2 n − 4 ​ ) . Jika u ⇀ = v ⇀ + w ⇀ . Tentukan nilai m + n .

Diketahui vektor  dan . Jika . Tentukan nilai .

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A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

Jawaban terverifikasi

Jawaban

.

 begin mathsize 14px style straight m plus straight n equals 7 plus 1 equals 8 end style.

Pembahasan

Diketahui: , dan . Maka: Sehingga .

Diketahui: begin mathsize 14px style straight u with rightwards harpoon with barb upwards on top equals open parentheses table row 13 row 3 end table close parentheses end stylebegin mathsize 14px style straight v with rightwards harpoon with barb upwards on top equals open parentheses table row cell 2 straight m plus 1 end cell row 6 end table close parentheses end style dan begin mathsize 14px style straight w with rightwards harpoon with barb upwards on top equals open parentheses table row cell negative 2 end cell row cell straight n minus 4 end cell end table close parentheses end style. Maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight u with rightwards harpoon with barb upwards on top end cell equals cell straight v with rightwards harpoon with barb upwards on top plus straight w with rightwards harpoon with barb upwards on top end cell row cell open parentheses table row 13 row 3 end table close parentheses end cell equals cell open parentheses table row cell 2 straight m plus 1 end cell row 6 end table close parentheses plus open parentheses table row cell negative 2 end cell row cell straight n minus 4 end cell end table close parentheses end cell row cell open parentheses table row 13 row 3 end table close parentheses end cell equals cell open parentheses table row cell 2 straight m minus 1 end cell row cell straight n plus 2 end cell end table close parentheses end cell row 13 equals cell 2 straight m minus 1 end cell row 14 equals cell 2 straight m end cell row straight m equals cell 7 space dan end cell row 3 equals cell straight n plus 2 end cell row straight n equals cell 3 minus 1 end cell row straight n equals 1 end table end style 

Sehingga begin mathsize 14px style straight m plus straight n equals 7 plus 1 equals 8 end style.

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