Mathematics 1229A/B Lecture 11: October 1 Notes

• School: Western University
• Department: Mathematics
• Course: Mathematics 1229A/B
• Professor: Vicki Olds

Document Summary

Any 3 non-colinear points define a plane vector for the plane containing p, q, and r. Write a standard form equation for the plane containing the points p(1, 0, 1), q(1, 2, 3), = (cid:1873) x (cid:1874) = (6 2, 2 0, 0 2) = (4, 2, -2) is a normal for . In (cid:2870), if lines (cid:2869) and (cid:2870) are not parallel, they intersect in a point. In (cid:2871), if line l is not parallel to plane , the l intersects in exactly one point. Has standard form equation 4x + 2y 2z = 2. Finding a point of intersection: be parallel. Intersect in exactly one point: not intersect at all. Since both lines are not parallel, they intersect. Find the point of intersection of (cid:2778) = (cid:4666)(cid:4667) = (1, 1) + r(2, 3) (cid:2779) = (cid:4666)(cid:4667) = (1, 2) + t(1, 1) Direction vector = (cid:1873) = (2, 3) not colinear (cid:2870): x = 1 + t.