Four students each made a statement about the equation of a line in R² given in vector form, 7 = (−3,5) + t(2,-3). Which students is/are correct? Justify your answer. | i. Eleven: The equation of this line in scalar form is 2x + 3y - 1 = 0 Lucas: A line L, that is parallel to the given line is as follows: ii. x = 1+ 2.5t L: y=8-3.75t iii. Finn: A vector that is perpendicular to the given line is = (9,-4) iv. Dustin: Two points on this line are: (-1,2) and (0, 0.5)
Four students each made a statement about the equation of a line in R² given in vector form, 7 = (−3,5) + t(2,-3). Which students is/are correct? Justify your answer. | i. Eleven: The equation of this line in scalar form is 2x + 3y - 1 = 0 Lucas: A line L, that is parallel to the given line is as follows: ii. x = 1+ 2.5t L: y=8-3.75t iii. Finn: A vector that is perpendicular to the given line is = (9,-4) iv. Dustin: Two points on this line are: (-1,2) and (0, 0.5)
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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![Four students each made a statement about the equation of a line in R² given in vector form, 7 = (-3,5) +
t(2,-3). Which students is/are correct? Justify your answer.
i. Eleven: The equation of this line in scalar form is 2x + 3y - 1=0
Lucas: A line L, that is parallel to the given line is as follows:
11.
L: * = 1+ 2.5t
y=8-3.75t
iii. Finn: A vector that is perpendicular to the given line is = (9,-4)
iv. Dustin: Two points on this line are: (-1,2) and (0, 0.5)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9416562c-abfe-4d6a-bfdb-dfebdfb69e1e%2F4c82f40e-9dc0-479f-a086-437cdd3d5a33%2Fr3o72m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Four students each made a statement about the equation of a line in R² given in vector form, 7 = (-3,5) +
t(2,-3). Which students is/are correct? Justify your answer.
i. Eleven: The equation of this line in scalar form is 2x + 3y - 1=0
Lucas: A line L, that is parallel to the given line is as follows:
11.
L: * = 1+ 2.5t
y=8-3.75t
iii. Finn: A vector that is perpendicular to the given line is = (9,-4)
iv. Dustin: Two points on this line are: (-1,2) and (0, 0.5)
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