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Mathematics-Online problems:

Interactive Problem 124: Lines and Planes: Projection, Distance and Intersection

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Given point $ P=(5,1,-3)$, line

$\displaystyle g: \vec{x}=t\left(\begin{array}{c}3\\ 2\\ 1\end{array}\right), \qquad t\in\mathbb{R}, $

and plane $ E: 2x_1 -x_2 +2x_3 = 3$. Find the projection of $ P$ onto $ g$, the distance of $ P$ from $ E$, and the point of intersection of $ g$ and $ E$.

Solution:
projection:(,,) $ ^\mathrm{t}$
distance:
intersection: (,,)


   

see also:

  automatically generated: 2/ 6/2018