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Tentukan vektor satuan dari vektor-vektor berikut. b.

Pertanyaan

Tentukan vektor satuan dari vektor-vektor berikut.

b. begin mathsize 14px style v with rightwards arrow on top equals open parentheses table row cell negative 1 end cell row 1 row cell negative 1 end cell end table close parentheses end style 

Pembahasan Soal:

Vektor satuan dari vektor tersebut adalah sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell v with hat on top end cell equals cell fraction numerator v with rightwards arrow on top over denominator open vertical bar v with rightwards arrow on top close vertical bar end fraction end cell row blank equals cell fraction numerator 1 over denominator square root of x squared plus y squared plus z squared end root end fraction open parentheses table row x row y row z end table close parentheses end cell row blank equals cell fraction numerator 1 over denominator square root of open parentheses negative 1 close parentheses squared plus 1 squared plus open parentheses negative 1 close parentheses squared end root end fraction open parentheses table row cell negative 1 end cell row 1 row cell negative 1 end cell end table close parentheses end cell row blank equals cell fraction numerator 1 over denominator square root of 3 end fraction open parentheses table row cell negative 1 end cell row 1 row cell negative 1 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell negative 1 third square root of 3 end cell row cell 1 third square root of 3 end cell row cell negative 1 third square root of 3 end cell end table close parentheses end cell end table end style

Dengan demikian, vektor satuan dari begin mathsize 14px style v with rightwards arrow on top end style adalah begin mathsize 14px style v with hat on top equals open parentheses table row cell negative 1 third square root of 3 end cell row cell 1 third square root of 3 end cell row cell negative 1 third square root of 3 end cell end table close parentheses end style

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 01 April 2021

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