1103212201 | math4u.vsb.cz

SubArea:

Level:

Project ID:

1103212201

Source Problem:

Accepted:

1

Clonable:

1

A straight line

p

is given by the points

M = [4; 2; 0]

and

N = [6; 6; 7]

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

p^{'}

that is symmetrical to the line

p

in the plane symmetry across the coordinate

x y

-plane.

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

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

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

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