Question

A plane contains how many lines? one line two lines three lines infinite number of lines

Answer 1

I'm pretty sure it's an infinite number of lines

Answer 2

Answer:

The answer is infinite number of lines

Step-by-step explanation:

In math, a plane may be described parametrically as the set of all points of the form:

$p=p_0+q*h+z*k$

where "q" and "z" are coefficient in the range over all real numbers, "h" and "k" are given linearly independent vectors defining the plane, and $p_0$ is the vector representing the position of an arbitrary (but fixed) point on the plane.

The vectors "h" and "k" can be visualized as vectors starting at $p_0$ and pointing in different directions along the plane. The vectors "h" and "k" can be perpendicular, but cannot be parallel.

Therefore, the vectors represents lines with different directions. If we fix the $p_0$ , then the others vectors, "h"and "k", will define the plane, and obviously there are infinite vectors.

Finally, a plane contains infinite number of lines.