A(n) __ is the collection of all points in the plane such that the distance from each point to a fixed point equals its distance to a fixed line.

Introduction to Vectors Part 3 Saadiq Shaik September 2016 1 Lines in Space Vectors and lines are highly related. A line in space can be written as a vector equation r = r0+ tL where r represents a vector and 0 represents a vector with a point on the line l. t represents a coe▯cient to L, which is a line parallel to l. Example 1 Find a vector equation of the line that contains (-1, 4, 0) and is parallel to 2i - 3j - 2k Solution Putting the vectors in unit vector form, we get r = ▯i + 4j 0 L = 2i ▯ 3j ▯ 2k and end up with r = (▯i + 4j) + t(2i ▯ 3j ▯ 2k) t is also know