1003188702 | math4u.vsb.cz

SubArea:

Level:

Project ID:

1003188702

Accepted:

1

We are given points

A = [- 2; 3; 0]

,

B = [6; 1; 6]

and

C = [1; 0; 4]

. Find the parametric equations of a line

p

that passes through the point

C

and through the midpoint of the line segment

A B

.

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

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

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

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