Find two different vector parametrizations of the line through P = (8,8, 4) with the direction vector v = (0, -2, 1). Is r(t) = (8,8, 4) + t(8, 6,5) an appropriate parametrization of the line? If not, explain. r(t) is not appropriate, the parameter t is being multiplied by the wrong vector term. O r(t) is an appropriate parametrization of the line. ) r(t) is not appropriate, the direction vector of r(t) is incorrectly found by taking the sum of the point and the direction vector v. r(t) is not appropriate, the direction vector of r(t) should be found by taking the difference between the point and the direction vector v. Identify two correct vector parametrizations of the line through P = (8, 8, 4) with the direction vector v = r(t) = (8,8,4) + t(0, -10,5) r(t) = (8, 10, 3) + t(8,8, 4) r(t) = (8,8, 4) + t(8,6,5) r(t) = (8,8,4) + t(0, −2, 1) r(t) = (8,8,4) +1(8, 10,3) r(t) = (8,6,5) + 1(8,8,4) (0, -2, 1).
Find two different vector parametrizations of the line through P = (8,8, 4) with the direction vector v = (0, -2, 1). Is r(t) = (8,8, 4) + t(8, 6,5) an appropriate parametrization of the line? If not, explain. r(t) is not appropriate, the parameter t is being multiplied by the wrong vector term. O r(t) is an appropriate parametrization of the line. ) r(t) is not appropriate, the direction vector of r(t) is incorrectly found by taking the sum of the point and the direction vector v. r(t) is not appropriate, the direction vector of r(t) should be found by taking the difference between the point and the direction vector v. Identify two correct vector parametrizations of the line through P = (8, 8, 4) with the direction vector v = r(t) = (8,8,4) + t(0, -10,5) r(t) = (8, 10, 3) + t(8,8, 4) r(t) = (8,8, 4) + t(8,6,5) r(t) = (8,8,4) + t(0, −2, 1) r(t) = (8,8,4) +1(8, 10,3) r(t) = (8,6,5) + 1(8,8,4) (0, -2, 1).
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:Find two different vector parametrizations of the line through P = (8, 8, 4) with the direction vector v = (0, -2, 1).
Is r(t) = (8,8, 4) + t(8, 6, 5) an appropriate parametrization of the line? If not, explain.
r(t) is not appropriate, the parameter t is being multiplied by the wrong vector term.
r(t) is an appropriate parametrization of the line.
r(t) is not appropriate, the direction vector of r(t) is incorrectly found by taking the sum of the point and the direction
vector V.
r(t) is not appropriate, the direction vector of r(t) should be found by taking the difference between the point and the
direction vector v.
Identify two correct vector parametrizations of the line through P = (8, 8, 4) with the direction vector v = = (0, -2, 1).
r(t) = (8,8, 4) + t(0, -10,5)
r(t) = (8, 10, 3) + t(8,8,4)
r(t) = (8,8,4) + t(8,6,5)
r(t) = (8,8,4) + t(0, −2, 1)
r(t) = (8,8, 4) + t(8, 10, 3)
r(t) = (8,6,5) + t(8,8,4)
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