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Diketahui  dan . Tentukanlah vektor hasil operasi...

Diketahui begin mathsize 14px style u with rightwards harpoon with barb upwards on top equals open parentheses table row cell negative 7 end cell row 3 end table close parentheses end style dan begin mathsize 14px style v with rightwards harpoon with barb upwards on top equals open parentheses table row 6 row 5 end table close parentheses end style.

Tentukanlah vektor hasil operasi berikut: begin mathsize 14px style 2 u with rightwards harpoon with barb upwards on top plus 3 v with rightwards harpoon with barb upwards on top end style.

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Jawaban:

Misalkan begin mathsize 14px style a with rightwards harpoon with barb upwards on top equals open parentheses table row cell x subscript 1 end cell row cell y subscript 1 end cell end table close parentheses end stylebegin mathsize 14px style b with rightwards harpoon with barb upwards on top equals open parentheses table row cell x subscript 2 end cell row cell y subscript 2 end cell end table close parentheses end style, dan begin mathsize 14px style k element of straight real numbers end style.

begin mathsize 14px style k a with rightwards harpoon with barb upwards on top equals k open parentheses table row cell x subscript 1 end cell row cell y subscript 1 end cell end table close parentheses equals open parentheses table row cell k. x subscript 1 end cell row cell k. y subscript 1 end cell end table close parentheses end style

begin mathsize 14px style a with rightwards harpoon with barb upwards on top plus b with rightwards harpoon with barb upwards on top equals open parentheses table row cell x subscript 1 end cell row cell y subscript 1 end cell end table close parentheses plus open parentheses table row cell x subscript 2 end cell row cell y subscript 2 end cell end table close parentheses equals open parentheses table row cell x subscript 1 plus x subscript 2 end cell row cell y subscript 1 plus y subscript 2 end cell end table close parentheses end style

Diketahui begin mathsize 14px style u with rightwards harpoon with barb upwards on top equals open parentheses table row cell negative 7 end cell row 3 end table close parentheses end style dan begin mathsize 14px style v with rightwards harpoon with barb upwards on top equals open parentheses table row 6 row 5 end table close parentheses end style.

begin mathsize 14px style 2 u with rightwards harpoon with barb upwards on top plus 3 v with rightwards harpoon with barb upwards on top equals 2 open parentheses table row cell negative 7 end cell row 3 end table close parentheses plus 3 open parentheses table row 6 row 5 end table close parentheses space space space space space space space space space space space space space equals open parentheses table row cell negative 14 end cell row 6 end table close parentheses plus open parentheses table row 18 row 15 end table close parentheses space space space space space space space space space space space space space equals open parentheses table row cell negative 14 plus 18 end cell row cell 6 plus 15 end cell end table close parentheses space space space space space space space space space space space space space equals open parentheses table row 4 row 21 end table close parentheses end style

Dengan demikian vektor hasil dari operasi begin mathsize 14px style 2 u with rightwards harpoon with barb upwards on top plus 3 v with rightwards harpoon with barb upwards on top equals open parentheses table row 4 row 21 end table close parentheses end style.

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