Consider the line with parametric equations x = 3+2t y = 6 -3t z = 1 - 6t. (L) (a) Prove that P(3, 6, 1) is a point of (L). (b) Find the two points of (L) that are at distance 7 from P.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Consider the line with parametric equations
x = 3+2t
y = 6-3t
z = 1 - 6t.
(L)
(a) Prove that P(3, 6, 1) is a point of (L).
(b) Find the two points of (L) that are at distance 7 from P.
Transcribed Image Text:Consider the line with parametric equations x = 3+2t y = 6-3t z = 1 - 6t. (L) (a) Prove that P(3, 6, 1) is a point of (L). (b) Find the two points of (L) that are at distance 7 from P.
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