1003189005 | math4u.vsb.cz

SubArea:

Level:

Project ID:

1003189005

Accepted:

1

Clonable:

0

Easy:

0

We are given a straight line

p

by parametric equations

\begin{aligned} x & = 1 + t, \\ y & = 1 + 2 t, \\ z & = 4 - t; t \in R . \end{aligned}

Find the parametric equations of the line

p^{'}

that is an orthogonal projection of the line

p

into the coordinate

x y

-plane .

\begin{aligned} p^{'} : x & = 5 + s, \\ y & = 9 + 2 s, \\ z & = 0; s \in R \end{aligned}

\begin{aligned} p^{'} : x & = 5 + s, \\ y & = 9 - 2 s, \\ z & = 0; s \in R \end{aligned}

\begin{aligned} p^{'} : x & = 1 + s, \\ y & = 1 + 2 s, \\ z & = 4; s \in R \end{aligned}

\begin{aligned} p^{'} : x & = 5 + 2 s, \\ y & = 9 + s, \\ z & = 0; s \in R \end{aligned}