Algebra Archive: Questions from October 18, 2022
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the straight ℓ:(x,y,z)=(2,7,−7)+t(a,3,−15)
is perpendicular to the plane π:y−5z=3x+10
for the next value of a:
La recta \( \ell:(x, y, z)=(2,7,-7)+t(a, 3,-15) \) es perpendicular al plano \( \pi: y-5 z=3 x+10 \) para el siguiente valor de \( a \) :
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The straights: ℓ1:(x,y,z)=(7,10,8)+t(4,6,−1) Y
ℓ2:(x,y,z)=(4,9,5)+s(1,5,−4)
are interested in the point (x0,y0,z0).
The value of y0 is
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Las rectas: \[ \ell_{1}:(x, y, z)=(7,10,8)+t(4,6,-1) \] y \[ \ell_{2}:(x, y, z)=(4,9,5)+s(1,5,-4) \] se interesan en el punto \( \left(x_{0}, y_{0}, z_{0}\right) \)
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be the straight ℓ:(x,y,z)=(−1,−2,−1)+(1,2,2)t, and the
point Q=(35,−2,−1).
If R=(α,β,γ) is the point of ℓ closest to Q, then the
value of γ is
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Sean la recta \( \ell:(x, y, z)=(-1,-2,-1)+(1,2,2) t \), y el punto \( Q=(35,-2,-1) \) Si \( R=(\alpha, \beta, \gamma) \) es el punto de \( \ell \) más cercano a \( Q \), entonces el valor de \( \gam
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