Assinale a alternativa que apresenta a distância correta entre os planos straight pi subscript 1 colon 2 straight x plus straight y minus straight z plus 2 equals 0 space straight e space straight pi subscript 2 colon space 4 straight x plus 2 straight y minus 2 straight z minus 5 equals 0.

a.
d open parentheses straight pi subscript 1 comma straight pi subscript 2 close parentheses equals 0

b.
d open parentheses straight pi subscript 1 comma straight pi subscript 2 close parentheses equals 5

c.
d open parentheses straight pi subscript 1 comma straight pi subscript 2 close parentheses equals 1

d.
d open parentheses straight pi subscript 1 comma straight pi subscript 2 close parentheses equals fraction numerator 3 square root of 6 over denominator 4 end fraction

e.
d open parentheses straight pi subscript 1 comma straight pi subscript 2 close parentheses equals square root of 6
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Assinale a opção que apresenta a equação paramétrica do plano definido pelos vetores u with rightwards arrow on top equals left parenthesis 1 comma 1 comma 2 right parenthesis space e space v with rightwards arrow on top equals left parenthesis negative 1 comma 1 comma 3 right parenthesis comma e que passa pelo ponto P equals left parenthesis 0 comma 3 comma negative 2 right parenthesis a. open curly brackets table attributes columnalign left end attributes row cell x equals t minus 2 h end cell row cell y equals 3 plus t plus h end cell row cell z equals negative 2 plus 2 t plus 3 h end cell end table close b. open curly brackets table attributes columnalign left end attributes row cell x equals t minus h end cell row cell y equals 3 plus t plus h end cell row cell z equals negative 3 plus 2 t plus 3 h end cell end table close c. open curly brackets table attributes columnalign left end attributes row cell x equals t minus h end cell row cell y equals 4 plus t plus h end cell row cell z equals negative 2 plus 2 t plus 3 h end cell end table close d. open curly brackets table attributes columnalign left end attributes row cell x equals t minus h end cell row cell y equals 3 plus t plus h end cell row cell z equals negative 2 plus 2 t plus 3 h end cell end table close e. open curly brackets table attributes columnalign left end attributes row cell x equals 1 plus t minus h end cell row cell y equals 3 plus t plus h end cell row cell z equals negative 2 plus 2 t plus 3 h end cell end table close
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