00:01
In this question, we are given an equation, a symmetric equation of a line, and we are asked to find a point on the line and the vector parallel to the line.
00:11
In other words, we are asked to write this equation in a parametric vector form, as r of t equals to x, y, y, z, nought, plus t times v, where v is any vector parallel to our line, and x, not, y, z, knot, is a point, on our line.
00:34
So, recall that in this in this in this in this metric equation, each part of the equation equals to t.
00:45
We're going to get x minus 1 over 4 equals t, y plus 5 over 2 equals t, and z plus 6 equals t...