00:01
So we have two lines here, or maybe they're the same line, because we want to find out if these two parameterizations define the same line.
00:09
So l1, i'm going to pull the constant parts out first, 2, 1, and 6, plus all the coefficients on t.
00:18
That is 3, 4, negative 1, times t.
00:23
Whereas l2, i'm going to say is 2, 4, 3, plus our coefficients on t, 6, 3, negative 2, times t.
00:39
And it's actually not that hard to show that these two lines are not the same.
00:49
In particular, if we set t to be 0, for example, we just cancel out this part, then obviously the point 2, 1, 6 is on l1...