B) The line passes through the point (2,4,5) and perpendicular to the plane 2x+y-5z-21,intersects the x-y plane at the point P₁. Use Lagrange multiplier to find the shortest distancebetween P, and the plane x+2y-z-1.

B) The line passes through the point (2,4,5) and perpendicular to the plane 2x+y- intersects the x-y plane at the point P₁. Use Lagrange multiplier to find the shortest distance hetween P₁ and the plane x+2y-z=1.

B) The line passes through the point (2,4,5) and perpendicular to the plane 2x+y- intersects the x-y plane at the point P₁. Use Lagrange multiplier to find the shortest distance hetween P₁ and the plane x+2y-z=1.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter12: Conic Sections

Section12.1: Parabolas

Problem 1E: A parabola is the set of all points in the plane that are equidistant from a fixed point called the...

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Question

B) The line passes through the point (2,4,5) and perpendicular to the plane 2x+y-5z-21,
intersects the x-y plane at the point P₁. Use Lagrange multiplier to find the shortest distance
between P, and the plane x+2y-z-1.

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