Pls help ASAP. Pls show all work and steps. Pls circle the final answer. 19. The two lines r = (2,1,11) + s(1,3,6), se R and w = (4,−1, 8) + t(−3, −1.–3), te R intersectat a point P.a) Determine the coordinates of the point P.b) Determine the vector equation of the line passing through the point P that is perpendicular to thegiven two lines.

Let's solve each part of the problem using the information provided. Given Lines :The two lines are…

Answered: 19. The two lines r = (2,1,11) +…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 7E

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19. The two lines r = (2,1,11) + s(1,3,6), se R and w = (4,−1, 8) + t(−3, −1.–3), te R intersect at a point P. a) Determine the coordinates of the point P. b) Determine the vector equation of the line passing through the point P that is perpendicular to the given two lines.