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Pertanyaan

Jika T (1,1,-1) dan U (1, 0,-1) , maka panjang vektor TU adalah ....

Jika T(1,1,-1) dan U(1, 0,-1), maka panjang vektor  adalah ....

  1. -1

  2. 0

  3. 1

  4. 2

  5. 3

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Jawaban terverifikasi

Jawaban

panjang

panjang begin mathsize 14px style TU with rightwards arrow on top equals open vertical bar TU with rightwards arrow on top close vertical bar equals square root of 0 squared plus open parentheses negative 1 squared close parentheses plus 0 squared end root equals square root of 0 plus 1 plus 0 end root equals square root of 1 equals 1 end style 

Pembahasan

diperoleh Jadi, panjang

begin mathsize 14px style TU with rightwards arrow on top equals straight U minus straight T equals open parentheses table row 1 row 0 row cell negative 1 end cell end table close parentheses minus open parentheses table row 1 row 1 row cell negative 1 end cell end table close parentheses equals open parentheses table row 0 row cell negative 1 end cell row 0 end table close parentheses end style 

diperoleh begin mathsize 14px style TU with rightwards arrow on top equals negative straight j with rightwards arrow on top end style

Jadi, panjang begin mathsize 14px style TU with rightwards arrow on top equals open vertical bar TU with rightwards arrow on top close vertical bar equals square root of 0 squared plus open parentheses negative 1 squared close parentheses plus 0 squared end root equals square root of 0 plus 1 plus 0 end root equals square root of 1 equals 1 end style 

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Diketahui vektor-vektor a = i + 2 j ​ − 3 k , b = 3 i + 5 j ​ , c = − 2 i − 4 j ​ + k ,dan vektor u = 2 a + b − c . Vektor dapat dijabarkan menjadi....

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