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Diberikan u ⇀ = ( 3 − 1 ​ ) , v ⇀ = ( 1 4 ​ ) , dan w ⇀ = ( − 7 − 7 ​ ) . Tentukan a ⇀ = u ⇀ + v ⇀ + w ⇀ .

Diberikan , dan . Tentukan .

  1. undefined 

  2. undefined 

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Penjumlahan vektor dan , maka . , , dan . . Diperoleh .

Penjumlahan vektor

begin mathsize 14px style a with rightwards harpoon with barb upwards on top equals left parenthesis x subscript a comma space y subscript a right parenthesis end style dan begin mathsize 14px style b with rightwards harpoon with barb upwards on top equals open parentheses x subscript b comma space y subscript b close parentheses end style, maka begin mathsize 14px style a with rightwards harpoon with barb upwards on top plus b with rightwards harpoon with barb upwards on top equals left parenthesis x subscript a plus x subscript b comma space y subscript a plus y subscript b right parenthesis end style.

 begin mathsize 14px style u with rightwards harpoon with barb upwards on top equals open parentheses table row 3 row cell negative 1 end cell end table close parentheses end stylebegin mathsize 14px style v with rightwards harpoon with barb upwards on top equals open parentheses table row 1 row 4 end table close parentheses end style, dan begin mathsize 14px style w with rightwards harpoon with barb upwards on top equals open parentheses table row cell negative 7 end cell row cell negative 7 end cell end table close parentheses end style.

begin mathsize 14px style a with rightwards harpoon with barb upwards on top equals u with rightwards harpoon with barb upwards on top plus v with rightwards harpoon with barb upwards on top plus w with rightwards harpoon with barb upwards on top end style

begin mathsize 14px style a with rightwards harpoon with barb upwards on top equals open parentheses table row cell 3 plus 1 plus left parenthesis negative 7 right parenthesis end cell row cell negative 1 plus 4 plus left parenthesis negative 7 right parenthesis end cell end table close parentheses equals open parentheses table row cell negative 3 end cell row cell negative 4 end cell end table close parentheses end style.

Diperoleh begin mathsize 14px style a with rightwards harpoon with barb upwards on top equals open parentheses table row cell negative 3 end cell row cell negative 4 end cell end table close parentheses end style.

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Diketahui vektor − vektor a = ⎝ ⎛ ​ 1 2 − 3 ​ ⎠ ⎞ ​ , b = ⎝ ⎛ ​ 4 4 m ​ ⎠ ⎞ ​ , dan c = ⎝ ⎛ ​ 3 − 4 5 ​ ⎠ ⎞ ​ . Jika a tegak lurus b , hasil dari a + b − 2 c = ...

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