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6. d(X, {) seems to depend on the choice of P on { and on the unit normal vector N. Show that if N' is another unit normal vector to l and if P' is another point on ?, then | (X – P, N) | = | (X – P', N') |

6. d(X, {) seems to depend on the choice of P on { and on the unit normal vector N. Show that if N' is another unit normal vector to l and if P' is another point on ?, then | (X – P, N) | = | (X – P', N') |

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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6. d(X, {) seems to depend on the choice of P on { and on the unit normal vector N. Show that if N' is another unit normal vector to { and if P' is another point on l, then | (X - P, N) | = | (X - P', N') | %3D
Transcribed Image Text:6. d(X, {) seems to depend on the choice of P on { and on the unit normal vector N. Show that if N' is another unit normal vector to { and if P' is another point on l, then | (X - P, N) | = | (X - P', N') | %3D
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