21. Given the line L₁ : x = 1+ t, y = 3-2t, z=4-3t and the point P(-1, 1,3). (a) Find the point on L₁ that is closest to P. (b) Find the distance (shortest distance) from P to L₁.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2:55 A
21. Given the line L₁ : x = 1 + t, y = 3 − 2t, z = 4 − 3t and the point P(−1,1, 3).
(a) Find the point on L₁ that is closest to P.
(b) Find the distance (shortest distance) from P to L₁.
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Transcribed Image Text:2:55 A 21. Given the line L₁ : x = 1 + t, y = 3 − 2t, z = 4 − 3t and the point P(−1,1, 3). (a) Find the point on L₁ that is closest to P. (b) Find the distance (shortest distance) from P to L₁. 7 of 21 ... 64% || |||
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