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Pertanyaan

Diketahui vektor a = i − 2 j + k dan vektor b = 3 i + j − 2 k . Vektor c mewakili vektor hasil proyeksi orthogonal vektor b pada vektor a , maka vektor c = ...

Diketahui vektor dan vektor Vektor mewakili vektor hasil proyeksi orthogonal vektor pada vektor , maka vektor

  1. negative 1 over 6 left parenthesis i minus 2 j plus k right parenthesis

  2. negative 1 over 6 left parenthesis 3 i minus 2 j plus 2 k right parenthesis

  3. negative 1 over 14 left parenthesis i minus 2 j plus k right parenthesis

  4. negative 1 over 14 left parenthesis 3 i plus j plus 2 k right parenthesis

  5. 1 over 6 left parenthesis i minus 2 j plus k right parenthesis

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A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

c with rightwards arrow on top space a d a l a h space p r o y e k s i space v e k t o r space o r t h o g o n a l space b with rightwards arrow on top space p a d a space a with rightwards arrow on top comma  c with ⃗ on top equals fraction numerator a with ⃗ on top straight space. b with ⃑ on top over denominator open vertical bar a with ⃗ on top close vertical bar squared end fraction. a with ⃗ on top equals fraction numerator open parentheses table row 1 row cell negative 2 end cell row 1 end table close parentheses straight space. open parentheses table row 3 row 1 row cell negative 2 end cell end table close parentheses over denominator open parentheses 1 close parentheses squared plus open parentheses negative 2 close parentheses squared plus open parentheses 1 close parentheses squared end fraction. open parentheses table row 1 row cell negative 2 end cell row 1 end table close parentheses  equals fraction numerator open parentheses 1 close parentheses. open parentheses 3 close parentheses plus open parentheses negative 2 close parentheses. open parentheses 1 close parentheses plus 1 open parentheses negative 2 close parentheses over denominator 6 end fraction. open parentheses table row 1 row cell negative 2 end cell row 1 end table close parentheses  equals fraction numerator negative 1 over denominator 6 end fraction open parentheses table row 1 row cell negative 2 end cell row 1 end table close parentheses  a t a u space c with ⃗ on top equals fraction numerator negative 1 over denominator 6 end fraction open parentheses i minus 2 j plus k close parentheses

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