2010008902 | math4u.vsb.cz

SubArea:

Level:

Project ID:

2010008902

Source Problem:

Accepted:

0

Clonable:

1

Easy:

0

Given points

A = [- 2; 5; 1]

and

B = [3; - 1; 2]

, determine which of the following parametric equations defines the ray

A B

.

\begin{aligned} \mapsto A B : x & = 3 + 5 t, \\ y & = - 1 - 6 t, \\ z & = 2 + t; t \in [- 1; \infty) \end{aligned}

\begin{aligned} \mapsto A B : x & = - 2 + 5 t, \\ y & = 5 - 6 t, \\ z & = 1 + t; t \in (- \infty; 1] \end{aligned}

\begin{aligned} \mapsto A B : x & = 3 - 5 t, \\ y & = - 1 + 6 t, \\ z & = 2 - t; t \in (- \infty; 0] \end{aligned}

\begin{aligned} \mapsto A B : x & = - 2 - 5 t, \\ y & = 5 + 6 t, \\ z & = 1 - t; t \in [0; \infty) \end{aligned}