1003188801 | math4u.vsb.cz

SubArea:

Level:

Project ID:

1003188801

Source Problem:

Accepted:

1

Clonable:

1

We are given points

A = [2; 4; 0]

,

B = [4; - 1; 1]

and

C = [0; 1; 1]

. From the following list, choose the parametric equations which represent a plane

ρ

defined by the points

A

,

B

, and

C

.

\begin{aligned} ρ : x & = 4 + 2 t + 2 s, \\ y & = - 1 - t - 5 s, \\ z & = 1 + s; t, s \in R \end{aligned}

\begin{aligned} ρ : x & = 4 + 4 t + 2 s, \\ y & = - 1 - 2 t - 5 s, \\ z & = 1 + t + s; t, s \in R \end{aligned}

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

\begin{aligned} ρ : x & = 2 t - 2 s, \\ y & = 1 - 5 t + 5 s, \\ z & = 1 + t - s; t, s \in R \end{aligned}