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3. In my home office, I am trying to run a 12 metre long (blue) computer cable from the origin O on one wall to point S located on the opposite wall. It is hoped that point S will be as close as possible to my desktop computer, which is located at point Q(5,2,0) on the wall. Assume each wall is rectangular and all measurements are in metres.

3. In my home office, I am trying to run a 12 metre long (blue) computer cable from the origin O on one wall to point S located on the opposite wall. It is hoped that point S will be as close as possible to my desktop computer, which is located at point Q(5,2,0) on the wall. Assume each wall is rectangular and all measurements are in metres.

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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3. In my home office, I am trying to run a 12 metre long (blue) computer cable from the origin O on one wall to point S located on the opposite wall. It is hoped that point S will be as close as possible to my desktop computer, which is located at point Q(5,2,0) on the wall. Assume each wall is rectangular and all measurements are in metres. M B S I As shown in the diagram above, the (blue) cable will run directly to point M which is the midpoint of the points O and B(0,4,3). It will then run horizontally from M to N and horizontally from N to P. From P the cable will run as far as possible along the straight line segment from P to Q. (a) Determine the coordinates of points M, N and P. (c) Hence determine the coordinates of point S. (b) Determine the distance from point P to the point S where the cable stops.
Transcribed Image Text:3. In my home office, I am trying to run a 12 metre long (blue) computer cable from the origin O on one wall to point S located on the opposite wall. It is hoped that point S will be as close as possible to my desktop computer, which is located at point Q(5,2,0) on the wall. Assume each wall is rectangular and all measurements are in metres. M B S I As shown in the diagram above, the (blue) cable will run directly to point M which is the midpoint of the points O and B(0,4,3). It will then run horizontally from M to N and horizontally from N to P. From P the cable will run as far as possible along the straight line segment from P to Q. (a) Determine the coordinates of points M, N and P. (c) Hence determine the coordinates of point S. (b) Determine the distance from point P to the point S where the cable stops.
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