5. In each case, find the equation of the line with the given properties. (a) Passing through the point (1,0, 0) parallel to the vector (4, 2, -1). (b) Passing through the points (2, 4, 1) and (9, -3,5). (c) Passing through the point (12, 2, 13) parallel to the line (x, y, z) = (6, -2, 1) +t(2, -5,-2).
5. In each case, find the equation of the line with the given properties. (a) Passing through the point (1,0, 0) parallel to the vector (4, 2, -1). (b) Passing through the points (2, 4, 1) and (9, -3,5). (c) Passing through the point (12, 2, 13) parallel to the line (x, y, z) = (6, -2, 1) +t(2, -5,-2).
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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![5. In each case, find the equation of the line with the given properties.
(a) Passing through the point (1, 0, 0) parallel to the vector (4, 2, -1).
(b) Passing through the points (2, 4, 1) and (9, -3,5).
(c) Passing through the point (12, 2, 13) parallel to the line (x, y, z) =
(6, -2, 1) +t(2, -5,-2).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa22db0a3-8288-4859-9591-d66f08674264%2F3418d034-515c-4a11-b3ed-356dce934579%2Frc96ibw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. In each case, find the equation of the line with the given properties.
(a) Passing through the point (1, 0, 0) parallel to the vector (4, 2, -1).
(b) Passing through the points (2, 4, 1) and (9, -3,5).
(c) Passing through the point (12, 2, 13) parallel to the line (x, y, z) =
(6, -2, 1) +t(2, -5,-2).
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