31:["$","$1","6",{"children":" y la "}] 37:Ta31,recta

r: x = y - 1 = \frac{z}{2}

.32:["$","span","7",{"className":"whitespace-nowrap","dangerouslySetInnerHTML":{"__html":"$37"}}] 33:["$","$1","8",{"children":""}] 38:T1752,

\frac{1}{6} |\det(\vec{PQ}, \vec{PR}, \vec{PS})|

34:["$","div",null,{"className":"mt-4 flex flex-col gap-4","children":[["$","div",null,{"className":"flex items-baseline gap-x-3 text-[15px] leading-relaxed sm:gap-x-4","children":[["$","span",null,{"className":"shrink-0 text-[13px] font-medium uppercase tracking-wide text-muted-foreground","children":"Datos"}],["$","ul",null,{"className":"flex min-w-0 flex-wrap items-baseline gap-x-7 gap-y-1 text-left","children":[["$","li","0",{"className":"min-w-0 max-w-full","children":["$","span",null,{"className":"whitespace-pre-line","children":[["$","$1","0",{"children":"El volumen de un tetraedro de vértices "}],["$","span","1",{"className":"whitespace-nowrap","dangerouslySetInnerHTML":{"__html":"

P, Q, R

"}}],["$","$1","2",{"children":" y "}],["$","span","3",{"className":"whitespace-nowrap","dangerouslySetInnerHTML":{"__html":"

S

"}}],["$","$1","4",{"children":" se puede calcular con la expresión "}],["$","span","5",{"className":"whitespace-nowrap","dangerouslySetInnerHTML":{"__html":"$38"}}]]}]}]]}]]}],null,[]]}] 35:[["$","div",null,{"className":"flow-root","children":[["$","span",null,{"className":"whitespace-pre-line","children":[["$","$1","0",{"children":"Encuentre los puntos "}],["$","span","1",{"className":"whitespace-nowrap","dangerouslySetInnerHTML":{"__html":"

P

"}}],["$","$1","2",{"children":" de la recta "}],["$","span","3",{"className":"whitespace-nowrap","dangerouslySetInnerHTML":{"__html":"

r

"}}],["$","$1","4",{"children":" para los cuales el tetraedro de vértices "}],["$","span","5",{"className":"whitespace-nowrap","dangerouslySetInnerHTML":{"__html":"

P, A, B

"}}],["$","$1","6",{"children":" y "}],["$","span","7",{"className":"whitespace-nowrap","dangerouslySetInnerHTML":{"__html":"

C

"}}],["$","$1","8",{"children":" tiene un volumen "}],["$","span","9",{"className":"whitespace-nowrap","dangerouslySetInnerHTML":{"__html":"de

2\\,\\text{u}^3

."}}],"$L39"]}],"$L3a"]}],"$L3b"] 36:["$","span",null,{"className":"hidden text-right tabular-nums sm:block pt-0.5 text-sm font-medium text-foreground/70","children":"1 pt"}]