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II1. Recall that using vector projections, we showed that the dis- tance from a point (x₁, y₁, 2₁) to a plane ax + by + cz + d = 0 is D |ax₁+by₁+cz₁+d Assuming that a, b, c are nonzero, give a different proof of this formula using Lagrange multipliers. √²+6²+c² =

II1. Recall that using vector projections, we showed that the dis- tance from a point (x₁, y₁, 2₁) to a plane ax + by + cz + d = 0 is D |ax₁+by₁+cz₁+d Assuming that a, b, c are nonzero, give a different proof of this formula using Lagrange multipliers. √²+6²+c² =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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II1. Recall that using vector projections, we showed that the dis- tance from a point (x₁, y₁, 2₁) to a plane ax + by + cz + d = 0 is Assuming that a, b, c are nonzero, give a D |axı+by₁+cz₁+d| √a² +6² +c² different proof of this formula using Lagrange multipliers. =
Transcribed Image Text:II1. Recall that using vector projections, we showed that the dis- tance from a point (x₁, y₁, 2₁) to a plane ax + by + cz + d = 0 is Assuming that a, b, c are nonzero, give a D |axı+by₁+cz₁+d| √a² +6² +c² different proof of this formula using Lagrange multipliers. =
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