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Pertanyaan

Diketahui a ⇀ = 3 i − 2 j + k dan b ⇀ = i + 3 j − 2 k , tentukan ∣ ∣ ​ a ⇀ + b ⇀ ∣ ∣ ​ .

Diketahui  dan , tentukan .

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F. Nur

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

hasi dari adalah .

hasi dari open vertical bar a with rightwards harpoon with barb upwards on top plus b with rightwards harpoon with barb upwards on top close vertical bar adalah 3 square root of 2.

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Pembahasan

Jumlahkan kedua vektor tersebut. Tentukan panjang vektor . Jadi, hasi dari adalah .

Jumlahkan kedua vektor tersebut.

table attributes columnalign right center left columnspacing 0px end attributes row cell a with rightwards harpoon with barb upwards on top plus b with rightwards harpoon with barb upwards on top end cell equals cell open parentheses 3 comma space minus 2 comma space 1 close parentheses plus open parentheses 1 comma space 3 comma space minus 2 close parentheses end cell row blank equals cell open parentheses 4 comma space 1 comma space minus 1 close parentheses end cell end table 

Tentukan panjang vektor open vertical bar a with rightwards harpoon with barb upwards on top plus b with rightwards harpoon with barb upwards on top close vertical bar.

table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar a with rightwards harpoon with barb upwards on top plus b with rightwards harpoon with barb upwards on top close vertical bar end cell equals cell square root of 4 squared plus 1 squared plus open parentheses negative 1 close parentheses squared end root end cell row blank equals cell square root of 16 plus 1 plus 1 end root end cell row blank equals cell square root of 18 end cell row blank equals cell square root of 9 times 2 end root end cell row blank equals cell 3 square root of 2 end cell end table 

Jadi, hasi dari open vertical bar a with rightwards harpoon with barb upwards on top plus b with rightwards harpoon with barb upwards on top close vertical bar adalah 3 square root of 2.

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