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Diketahui vektor u = 3 i + 2 j ​ + 2 k dan v = i + j ​ − 4 k . Tentukan : a. vektor u + 2 v

Diketahui vektor  dan . Tentukan :

a. vektor 

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N. Indah

Master Teacher

Mahasiswa/Alumni Universitas Diponegoro

Jawaban terverifikasi

Jawaban

vektor adalah .

vektor u with rightwards harpoon with barb upwards on top plus 2 v with rightwards harpoon with barb upwards on top adalah 5 i with rightwards harpoon with barb upwards on top plus 4 j with rightwards harpoon with barb upwards on top minus 6 k with rightwards harpoon with barb upwards on top.

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Pembahasan

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Perhatikan Jadi vektor adalah .

Perhatikan 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell u with rightwards arrow on top plus 2 v with rightwards arrow on top end cell equals cell open parentheses table row 3 row 2 row 2 end table close parentheses plus 2 open parentheses table row 1 row 1 row cell negative 4 end cell end table close parentheses end cell row blank equals cell open parentheses table row 5 row 4 row cell negative 6 end cell end table close parentheses end cell row blank equals cell 5 i with rightwards arrow on top plus 4 j with rightwards arrow on top minus 6 k with rightwards arrow on top end cell end table end style

Jadi vektor u with rightwards harpoon with barb upwards on top plus 2 v with rightwards harpoon with barb upwards on top adalah 5 i with rightwards harpoon with barb upwards on top plus 4 j with rightwards harpoon with barb upwards on top minus 6 k with rightwards harpoon with barb upwards on top.

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Diketahui A ( 2 , 6 , − 5 ) , B ( − 1 , 3 , 7 ) , dan C ( 4 , − 1 , 8 ) . AB dan BC berturut-turut mewakili vektor u dan v . Tentukan: d. ( 2 u − 3 v ) 2

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