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Jika a adalah panjang proyeksi vektor pada vektor q ​ = i − j ​ maka a ≤ 2 1 ​ terpenuhi untuk ....

Jika a adalah panjang proyeksi vektor begin mathsize 14px style p with rightwards arrow on top equals open parentheses cos squared alpha close parentheses i with rightwards arrow on top plus open parentheses sin squared alpha close parentheses j with rightwards arrow on top end style pada vektor  maka  terpenuhi untuk ....

  1. begin mathsize 14px style alpha greater or equal than 1 fourth pi end style   

  2. begin mathsize 14px style alpha less or equal than 1 fourth pi end style   

  3. begin mathsize 14px style alpha less or equal than 1 over 8 pi end style   

  4. begin mathsize 14px style 1 over 8 pi less or equal than alpha less or equal than 7 over 8 pi end style   

  5. begin mathsize 14px style 1 fourth pi less or equal than alpha less or equal than 7 over 4 pi end style   

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Kemudian perhatikan grafik fungsi berikut Maka terpenuhi untuk

begin mathsize 14px style Ingat space rumus space panjang space proyeksi space straight p with rightwards arrow on top space pada space straight q with rightwards arrow on top straight a with rightwards arrow on top equals fraction numerator straight p with rightwards arrow on top. straight q with rightwards arrow on top over denominator open vertical bar straight q with rightwards arrow on top close vertical bar end fraction straight a equals fraction numerator open parentheses table row cell cos squared straight alpha end cell row cell sin squared straight alpha end cell end table close parentheses. open parentheses table row 1 row cell negative 1 end cell end table close parentheses over denominator square root of 1 squared plus open parentheses negative 1 close parentheses squared end root end fraction straight a equals fraction numerator cos squared straight alpha minus sin squared straight alpha over denominator square root of 2 end fraction  Kemudian space straight a less or equal than 1 half fraction numerator cos squared straight alpha minus sin squared straight alpha over denominator square root of 2 end fraction less or equal than 1 half cos squared straight alpha minus sin squared straight alpha less or equal than 1 half square root of 2 cos space 2 straight alpha less or equal than 1 half square root of 2  Ingat space bahwa space cos space 2 straight alpha equals 1 half square root of 2 open curly brackets table row cell 2 straight alpha equals straight pi over 4 rightwards double arrow straight alpha equals straight pi over 8 end cell row cell 2 straight alpha equals 7 over 4 straight pi rightwards double arrow straight alpha equals 7 over 8 straight pi end cell end table close end style

Kemudian perhatikan grafik fungsi berikut

Maka begin mathsize 14px style cos space 2 alpha less or equal than 1 half square root of 2 end style terpenuhi untuk undefined   

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Balok ABCD.EFGH dengan AB = 6 cm, BC = 4 cm dan DH = 2 cm, Titik P terletak di tengah HG, kemudian Q terletak pada EP dengan EP : PQ = 1 : 1, dan titk R terletak pada AB dengan AB : AR = 1 : 2, panjan...

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