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Diketahui dua vektor yang sama yaitu vektor  dan    c. Tentukanlah vektor satuan dari vektor

Pertanyaan

Diketahui dua vektor yang sama yaitu vektor begin mathsize 14px style u with bar on top equals open parentheses table row cell 2 n plus 1 end cell row 10 end table close parentheses end style dan begin mathsize 14px style v with bar on top equals 15 i with bar on top plus left parenthesis m squared plus 6 right parenthesis j with bar on top. end style  

c. Tentukanlah vektor satuan dari vektor begin mathsize 14px style v with bar on top ? end style 

  1. ...space 

  2. ...undefined 

Pembahasan Video:

Pembahasan Soal:

vektor begin mathsize 14px style v with bar on top end style  

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell v with bar on top end cell equals cell 15 i with bar on top plus open parentheses m squared plus 6 close parentheses j with bar on top end cell row blank equals cell 15 i with bar on top plus open parentheses 2 squared plus 4 close parentheses j end cell row cell v with bar on top end cell equals cell 15 i with bar on top plus 10 j end cell row blank blank blank end table end style  

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell vertical line v vertical line end cell equals cell square root of left parenthesis 15 right parenthesis squared plus left parenthesis 10 right parenthesis squared end root end cell row blank equals cell square root of 225 plus 100 end root end cell row blank equals cell square root of 325 end cell row cell vertical line v vertical line end cell equals cell 5 square root of 13 end cell end table end style  

vektor satuan undefined  

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank equals cell fraction numerator 1 over denominator vertical line v vertical line end fraction times v with bar on top end cell row blank equals cell fraction numerator 1 over denominator 5 square root of 13 end fraction times open square brackets table row 15 row 10 end table close square brackets end cell row blank equals cell open square brackets table row cell fraction numerator 15 over denominator 5 square root of 13 end fraction end cell row cell fraction numerator 10 over denominator 5 square root of 13 end fraction end cell end table close square brackets end cell row blank equals cell open square brackets table row cell fraction numerator 3 square root of 13 over denominator 13 end fraction end cell row cell fraction numerator 2 square root of 13 over denominator 13 end fraction end cell end table close square brackets end cell end table end style   

Jadi, vektor satuan undefined  adalah begin mathsize 14px style open square brackets table row cell fraction numerator 3 square root of 13 over denominator 13 end fraction end cell row cell fraction numerator 2 square root of 13 over denominator 13 end fraction end cell end table close square brackets. end style 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 05 Mei 2021

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