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Solve the following question by showing proper steps and p 1. Determine if the following points are on the line : (-4,3)+t(3, 2). a. (-1,5) b. (10,7) c. (-16,-5) d. (8.5,0) e. (4, -3)

Solve the following question by showing proper steps and p 1. Determine if the following points are on the line : (-4,3)+t(3, 2). a. (-1,5) b. (10,7) c. (-16,-5) d. (8.5,0) e. (4, -3)

Advanced Engineering Mathematics
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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Assignment Conversation Solve the following question by showing proper steps and prepare to answer the questions regarding equation of line in R2 and R3 1. Determine if the following points are on the line : (-4, 3) +t(3, 2). a. (-1,5) b. (10,7) c. (-16, -5) d. (8.5, 0) a e. 2 Find the equation of the line and write in the specified form: a. the line parallel to d = (2,3) that hits the point (1,4), in parametric form. b. the line that passes through the points (2, 4) and (5, 13), in vector form. c. the vertical line through (4,-2), in parametric form. d. the line with the same z-intercept as ₁: (3,6) + t(1,-2), and the same y-intercept as £₂: (8,4) + s(-1,3), in vector form. (4, -3) 3. For the following, determine if the two lines given are parallel, perpendicular, or neither, and explain your reasoning. ₁: (7,12)+t(5,8) l: (-19,3)+8(8,5) b. 4₁: (2=-31-3t y=17+t c. ₂: (23, 18) + (-5,4) by: z = 31+12s y=-17-48 =-18 +68 v=22+/8
Transcribed Image Text:Assignment Conversation Solve the following question by showing proper steps and prepare to answer the questions regarding equation of line in R2 and R3 1. Determine if the following points are on the line : (-4, 3) +t(3, 2). a. (-1,5) b. (10,7) c. (-16, -5) d. (8.5, 0) a e. 2 Find the equation of the line and write in the specified form: a. the line parallel to d = (2,3) that hits the point (1,4), in parametric form. b. the line that passes through the points (2, 4) and (5, 13), in vector form. c. the vertical line through (4,-2), in parametric form. d. the line with the same z-intercept as ₁: (3,6) + t(1,-2), and the same y-intercept as £₂: (8,4) + s(-1,3), in vector form. (4, -3) 3. For the following, determine if the two lines given are parallel, perpendicular, or neither, and explain your reasoning. ₁: (7,12)+t(5,8) l: (-19,3)+8(8,5) b. 4₁: (2=-31-3t y=17+t c. ₂: (23, 18) + (-5,4) by: z = 31+12s y=-17-48 =-18 +68 v=22+/8
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