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Vektor posisi titik A ( − 3 , − 5 , 2 ) dan B ( 2 , − 3 , 5 ) adalah a d an b . Hitunglah: c. a ⋅ b

Vektor posisi titik  dan  adalah . Hitunglah:

c.  

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Jawaban terverifikasi

Jawaban

 begin mathsize 14px style bottom enclose bold a with bold rightwards arrow on top bold times bold b with bold rightwards arrow on top bold equals bold 19 end enclose end style

Pembahasan

Pembahasan
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Diketahui: Maka: Jadi,

Diketahui:

table attributes columnalign right center left columnspacing 0px end attributes row cell a with rightwards harpoon with barb upwards on top end cell equals cell left parenthesis negative 3 comma space minus 5 comma space 2 right parenthesis end cell row cell b with rightwards harpoon with barb upwards on top end cell equals cell left parenthesis 2 comma space minus 3 comma space 5 right parenthesis end cell end table 

Maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell a with rightwards arrow on top times b with rightwards arrow on top end cell equals cell a subscript 1 b subscript 1 plus a subscript 2 b subscript 2 plus a subscript 3 b subscript 3 end cell row blank equals cell negative 3 left parenthesis 2 right parenthesis plus left parenthesis negative 5 right parenthesis left parenthesis negative 3 right parenthesis plus 2 left parenthesis 5 right parenthesis end cell row blank equals cell negative 6 plus 15 plus 10 end cell row blank equals 19 end table  

Jadi, begin mathsize 14px style bottom enclose bold a with bold rightwards arrow on top bold times bold b with bold rightwards arrow on top bold equals bold 19 end enclose end style

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