Finding the equation of a plane

March 12, 2008

Find an equation of the plane containing the point P(6,2,4) and the line \displaystyle \ell :\ \frac{1}{5}(x-1) = \frac{1}{6}(y+2) = \frac{1}{7}(z-3).

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Distance of a Point from a Line in 3D

March 11, 2008

Find the distance of the point P(1,2,1) from the line \ell :\ x = 3 + t,\ y = 2 + t,\ z = 1 + t,\ t \in \mathbb{R}.

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