2010008703 | math4u.vsb.cz

SubArea:

Level:

Project ID:

2010008703

Source Problem:

Accepted:

0

Clonable:

1

Easy:

0

A straight line

q

is given by the points

K = [6; 6; 7]

and

L = [4; 0; 2]

(see the picture). Find the parametric equations of the line

q^{'}

that is symmetrical to the line

q

in the plane symmetry across the coordinate

x z

-plane.

\begin{aligned} q^{'} : x & = 4 + 2 t, \\ y & = - 6 t, \\ z & = 2 + 5 t; t \in R \end{aligned}

\begin{aligned} q^{'} : x & = 4 + 6 t, \\ y & = 6 t, \\ z & = 2 + 7 t; t \in R \end{aligned}

\begin{aligned} q^{'} : x & = 4 + 2 t, \\ y & = 6 t, \\ z & = 2 + 5 t; t \in R \end{aligned}

\begin{aligned} q^{'} : x & = 4 + 6 t, \\ y & = - 6 t, \\ z & = 2 + 7 t; t \in R \end{aligned}