Show that line 1: <1+t, -3-t, 5+2t > and line 2: < 4-s, -3+s, 6+2s >are skewed.

Answer 1

We have to show that system of 3 equation with 2 variables t and s has no solutions.

1 + t = 4 - s; - 3 - t = - 3 + s; 5 + 2t = 6 + 2s;

From 2nd equation s = - t. Then 1st equation give us contradiction: 1 + t = 4 + t or 1 = 4.

So this 2 lines are skewed