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Diberikan titik-titik dan . Jika ruas garis berarah A B d an BC berturut-turut mewakili vektor-vektor u d an v . Maka nilai dari

Diberikan titik-titik Error converting from MathML to accessible text. dan Error converting from MathML to accessible text.. Jika ruas garis berarah  berturut-turut mewakili vektor-vektor . Maka nilai dari open vertical bar 2 u with rightwards arrow on top minus 3 v with rightwards arrow on top close vertical bar squared equals horizontal ellipsis

  1. 18

  2. 171

  3. 153

  4. 222

  5. 918

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F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

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Pembahasan

Diketahui Sehingga

Diketahui

u with rightwards arrow on top equals stack A B with rightwards arrow on top equals open parentheses table row cell x subscript B minus x subscript A end cell row cell y subscript B minus y subscript A end cell row cell z subscript B minus z subscript A end cell end table close parentheses equals open parentheses table row cell negative 1 minus 2 end cell row cell 3 minus 6 end cell row cell 7 minus open parentheses negative 5 close parentheses end cell end table close parentheses equals open parentheses table row cell negative 3 end cell row cell negative 3 end cell row 12 end table close parentheses  v with rightwards arrow on top equals stack B C with rightwards arrow on top equals open parentheses table row cell x subscript C minus x subscript B end cell row cell y subscript C minus y subscript B end cell row cell z subscript C minus z subscript B end cell end table close parentheses equals open parentheses table row cell 4 minus open parentheses negative 1 close parentheses end cell row cell negative 1 minus 3 end cell row cell 8 minus 7 end cell end table close parentheses equals open parentheses table row 5 row cell negative 4 end cell row 1 end table close parentheses  2 u with rightwards arrow on top minus 3 v with rightwards arrow on top equals 2 open parentheses table row cell negative 3 end cell row cell negative 3 end cell row 12 end table close parentheses minus 3 open parentheses table row 5 row cell negative 4 end cell row 1 end table close parentheses equals open parentheses table row cell negative 6 end cell row cell negative 6 end cell row 24 end table close parentheses minus open parentheses table row 15 row cell negative 12 end cell row 3 end table close parentheses equals open parentheses table row cell negative 21 end cell row 6 row 21 end table close parentheses

Sehingga

open vertical bar 2 u with rightwards arrow on top minus 3 v with rightwards arrow on top close vertical bar squared equals open parentheses square root of open parentheses negative 21 close parentheses squared plus 6 squared plus 21 squared end root close parentheses squared equals open parentheses square root of 441 plus 36 plus 441 end root close parentheses squared equals open parentheses square root of 918 close parentheses squared equals 918

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Diketahui vektor u = 2 ⎝ ⎛ ​ 1 4 − 2 ​ ⎠ ⎞ ​ + 3 ⎝ ⎛ ​ 2 − 1 3 ​ ⎠ ⎞ ​ dan v = 3 2 ​ ⎝ ⎛ ​ 6 0 − 3 ​ ⎠ ⎞ ​ − 2 ⎝ ⎛ ​ 1 4 − 2 ​ ⎠ ⎞ ​ . Tentukan: a. u dan v b. Hasil operasi 2 u − 4 v

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