Answer to Question #211536 in Analytic Geometry for Moe

Question

Which one of the following describes the points that satisfy the equation

$(x;y;z) = (-1;2;0) + \lambda$ $(1,3,-2)$

1. A plane through the point $(-1,2,0)$ perpendicular to the line $r = \lambda(1,3,-2)$
2. A plane through the point $(-1,2,0)$ parallel to the one $r = \lambda(1,3,-2)$
3. A sphere centered at $(-1,-3,2)$ with a radius 5
4. A line through the point $(-1,2,0)$ with direction vector $d = \lambda(1,3,-2)$

Answer 1

4. A line through the point $(-1,2,0)$ with direction vector $d = \lambda(1,3,-2)$