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Show that the lines intersect and solve r = (1,0, 3) + u(2, 1, 1) and r = (2, -1, -1) + t(-5, -1, 2)

Show that r = (1, 0, 3) + t(2, 1, 1) and r (3, 1, 4) + u(4, 2, 2) are coincident lines

Show that r = (1, 0, 3) + r(2, 1, 1) and r = (2, -1, -1) + t(-5, -1, 3) are skew lines

What is a dot (axb)
Answer : 0 (scalar) NOT a dot a x a dot b
If (1, -1, 4) is perpendicular to normal of plane 1 and 3 then…

What happens if line lies on plane AND line not parallel to plane
Line lies on plane → parallel to plan, line perpendicular to plane
Line not parallel to plane → intersect at 1 point


Show that the line r = (2, 1, -1) + t(3, 1, 3) is parallel to the plane r dot (-1, 0, 1) = 1

Find the equation of the line of interesection of the planes r (7, 2, -3) = 4 and r (2, 1, 0) = 5
