9000117401 | math4u.vsb.cz

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Level:

Project ID:

9000117401

Accepted:

1

Find the intersection of the planes

ρ

and

σ

.

\begin{aligned} ρ : 2 x - 5 y + 4 z - 10 = 0, σ : x - y - z - 2 = 0 \end{aligned}

\begin{aligned} p : x & = 3 t, \\ y & = - 2 + 2 t, \\ z & = t; t \in R \end{aligned}

\begin{aligned} q : x & = 2 s - 10, \\ y & = 5 s - 10, \\ z & = s; s \in R \end{aligned}

\begin{aligned} a : x & = 2 u - 4, \\ y & = 2 u - 4, \\ z & = u; u \in R \end{aligned}

\begin{aligned} b : x & = 3 v + 1, \\ y & = v - 2, \\ z & = v; v \in R \end{aligned}