Answer to Question #211614 in Algebra for Jaguar

Question

Let L be the line given by < 3, −1, 2 > + t < 1, 1, −1 >, for t ∈ R.

(4.1) Show that the above line L lies on the plane −2x + 3y − 4z + 1 = 0.

(4.2) Find an equation for the plane through the point P = (3, −2, 4) that is perpendicular to the

line < −8, 2, 0 > + t < −3, 2, −7 >.