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Diketahui kubus satuan ABCD.EFGH. Misalkan vector-vektor begin mathsize 14px style AB with rightwards arrow on top equals straight i with rightwards arrow on top equals open parentheses 1 comma 0 comma 0 close parentheses semicolon space AD with rightwards arrow on top equals straight j with rightwards arrow on top equals open parentheses 0 comma 1 comma 0 close parentheses end style dan begin mathsize 14px style AE with rightwards arrow on top equals straight k with rightwards arrow on top equals open parentheses 0 comma 0 comma 1 close parentheses end style. Titik P adalah titik pusat pada sisi BCGF. Vektor proyeksi begin mathsize 14px style FP with rightwards arrow on top end style ke vektor begin mathsize 14px style AC with rightwards arrow on top end style adalah…

  1. begin mathsize 14px style 1 half square root of 2 end style 

  2. begin mathsize 14px style fraction numerator 1 over denominator 2 square root of 2 end fraction end style 

  3. begin mathsize 14px style fraction numerator 1 over denominator 2 square root of 2 end fraction open parentheses 0 comma 1 comma 1 close parentheses end style 

  4. begin mathsize 14px style fraction numerator 1 over denominator 2 square root of 2 end fraction open parentheses 1 comma 1 comma 0 close parentheses end style 

  5. begin mathsize 14px style 1 fourth open parentheses 1 comma 1 comma 0 close parentheses end style 

A. Acfreelance

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begin mathsize 14px style FP with rightwards arrow on top equals 1 half open parentheses FB with rightwards arrow on top plus BC with rightwards arrow on top close parentheses FP with rightwards arrow on top equals 1 half open parentheses negative open parentheses table row 0 row 0 row 1 end table close parentheses plus open parentheses table row 0 row 1 row 0 end table close parentheses close parentheses FP with rightwards arrow on top equals 1 half open parentheses table row 0 row 1 row cell negative 1 end cell end table close parentheses AC with rightwards arrow on top equals AB with rightwards arrow on top plus BC with rightwards arrow on top AC with rightwards arrow on top equals open parentheses table row 1 row 0 row 0 end table close parentheses plus open parentheses table row 0 row 1 row 0 end table close parentheses plus open parentheses table row 1 row 1 row 0 end table close parentheses end style 

Sehingga vektor proyeksi dari undefined ke undefined adalah

begin mathsize 14px style fraction numerator FP with rightwards arrow on top space. space AC with rightwards arrow on top over denominator open vertical bar AC with rightwards arrow on top close vertical bar squared end fraction AC with rightwards arrow on top equals fraction numerator begin display style 1 half end style open parentheses table row 0 row 1 row cell negative 1 end cell end table close parentheses space. space open parentheses table row 1 row 1 row 0 end table close parentheses over denominator open parentheses 1 squared plus 1 squared plus 0 close parentheses end fraction open parentheses table row 1 row 1 row 0 end table close parentheses equals 1 fourth open parentheses 1 comma 1 comma 0 close parentheses end style 

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