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Luna calculates d, and also the distance d, from the point E to the line through D and F and notices that d DE = d2 DF. Without any further calculation, explain why this must be true.

Luna calculates d, and also the distance d, from the point E to the line through D and F and notices that d DE = d2 DF. Without any further calculation, explain why this must be true.

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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(c) Luna calculates d, and also the distance d, from the point E to the line through D and F and notices that di DE = d, DF . Without any further calculation, explain why this must be true.
Transcribed Image Text:(c) Luna calculates d, and also the distance d, from the point E to the line through D and F and notices that di DE = d, DF . Without any further calculation, explain why this must be true.
Violet chooses four points D, E, F, G in R³, and decides to tell Luna some of the coordinates. However, Violet decides to withhold two of the coordinate values, and labels them x and z instead. Violet shows Luna the following list: D= (3,1,0), E3 (2,5, г). F = (x, 6, –3), G = (4,0,1). Violet also says to Luna, "The points D, E, F, G are the vertices of a parallelogram, though I won't tell you the order of its vertex labelling." (a) Help Luna find x and z. Number Number (b) Find the distance di from the point F to the line through D and E and enter its exact value in the box below: di
Transcribed Image Text:Violet chooses four points D, E, F, G in R³, and decides to tell Luna some of the coordinates. However, Violet decides to withhold two of the coordinate values, and labels them x and z instead. Violet shows Luna the following list: D= (3,1,0), E3 (2,5, г). F = (x, 6, –3), G = (4,0,1). Violet also says to Luna, "The points D, E, F, G are the vertices of a parallelogram, though I won't tell you the order of its vertex labelling." (a) Help Luna find x and z. Number Number (b) Find the distance di from the point F to the line through D and E and enter its exact value in the box below: di
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