Determine whether the line and plane are parallel. x=-5-4t;y=1-t;z=3+2t; x + 2y +3z -9 =0
The parametric equation for a line passing through two points is
p = p1 + t(p2 - p1)
where t is in [0,1].
Since we have x = -5 - 4t, y = 1 - t, z = 3 + 2t, we get
p1 = (-5, 1, 3), p2 = (-9, 0, 5) and p2 - p1 = (-4, -1, 2) = A
where A is the direction vector of the line.
Given the plane equatio Read More: ...