We seek the shortest distances from the point C to the line passing through points A and B. As indicated in Figure 4, s corresponds to the length of the line segment that connects C perpendicularly to the segment AB. A Ꮎ S Figure 4 i) Show that s = || AB × AC || ||AB|| B ii) Find the value of m such that s = 1 for the points A(1,2,3), B(−1, 2, 1), and C(4,3, m). (The diagram is not to scale for these points.)
We seek the shortest distances from the point C to the line passing through points A and B. As indicated in Figure 4, s corresponds to the length of the line segment that connects C perpendicularly to the segment AB. A Ꮎ S Figure 4 i) Show that s = || AB × AC || ||AB|| B ii) Find the value of m such that s = 1 for the points A(1,2,3), B(−1, 2, 1), and C(4,3, m). (The diagram is not to scale for these points.)
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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Transcribed Image Text:We seek the shortest distances from the point C to the line passing through points A
and B. As indicated in Figure 4, s corresponds to the length of the line segment that
connects C perpendicularly to the segment AB.
A
Ꮎ
S
Figure 4
i) Show that s =
|| AB × AC ||
||AB||
B
ii) Find the value of m such that s = 1 for the points A(1,2,3), B(−1, 2, 1), and
C(4,3, m). (The diagram is not to scale for these points.)
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