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Diketahui x = ⎝ ⎛ ​ 0 − 4 3 ​ ⎠ ⎞ ​ dan y ​ = ⎝ ⎛ ​ 2 3 4 ​ ⎠ ⎞ ​ . Besar sudut antara x dan y ​ adalah ..

Diketahui . Besar sudut antara  adalah ..

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L. Marlina

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

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sudut antara vektor tersebut adalah .

sudut antara vektor tersebut adalah 90 degree.

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Pembahasan

Jadi, sudut antara vektor tersebut adalah .

cos alpha equals fraction numerator x with rightwards arrow on top. y with rightwards arrow on top over denominator open vertical bar x with rightwards arrow on top close vertical bar. open vertical bar y with rightwards arrow on top close vertical bar end fraction space rightwards arrow cos alpha equals fraction numerator open parentheses table row 0 row cell negative 4 end cell row 3 end table close parentheses. open parentheses table row 2 row 3 row 4 end table close parentheses over denominator square root of 0 plus open parentheses negative 4 close parentheses squared plus 3 squared end root. square root of 2 squared plus 3 cubed plus 4 squared end root end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 0.2 plus open parentheses negative 4 close parentheses.3 plus 3.4 over denominator square root of 0 plus 16 plus 9 end root. square root of 4 plus 9 plus 16 end root end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 0 minus 12 plus 12 over denominator square root of 25. square root of 29 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 0   

cos alpha equals 0 space rightwards arrow space alpha equals 90 degree 

Jadi, sudut antara vektor tersebut adalah 90 degree.

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Diketahui vektor u = ⎝ ⎛ ​ 2 − 1 1 ​ ⎠ ⎞ ​ dan v → = ⎝ ⎛ ​ 7 0 1 ​ ⎠ ⎞ ​ . Tentukan sudut antara u dan v .

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