Answer to Question #211612 in Analytic Geometry for Jaguar

Question

(3.1) Find the point of intersection between the lines: < 3, −1, 2 > + t < 1, 1, −1 > and

< −8, 2, 0 > + t < −3, 2, −7 >.

(3.2) Show that the lines x + 1 = 3t, y = 1, z + 5 = 2t for t ∈ R and x + 2 = s, y − 3 = −5s,

z + 4 = −2s for t ∈ R intersect, and find the point of intersection.

(3.3) Find the point of intersection between the planes: −5x + y −2z = 3 and 2x −3y + 5z = −7.