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 =
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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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