qmplus.qmul.ac.ukQM-Clear my choiceQUESTION 4Not yet answered Marked out of 4.00 P FlagIf a line is parallel to the vector 3i +2j + 1k and passes through the point P = (1,3,8), then the parametric equation of the line is:%3DO a. X=1-3A, Y= 3- 2A, Z= 8-1AOb. X=-1+ 31, Y= -3+ 2\, Z= -8+1AO c. X=1+ 31, Y= 3+ 2A, Z= 8+1AO d. X=-1-3), Y=- 3- 2A, Z= -8-1ANot yet answered Marked out of 4.0ESTION 5to the right by - units and

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Answered: If a line is parallel to the vector 3i…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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Question 2 a) An aircraft, flying in a straight line, passes through the points (-6,7,2) and (-3,2,3) measured in kilometres. Find the vector form of the equation of the line that describes the flight path of the aircraft. Determine whether or not the aircraft is flying parallel to the ground which is described by the plane -4x + 6y + 42z = 17, where x.y and z are also measured in kilometres. b) A large shade sail is to be hung tautly between the tops of 3 poles. The tops of these poles are located at point A, B, and C as shown in the Figure 1 below. For instance the point A is located at (2, -3,3) m. find the vectors AB and AC and hence the equation of the plane through these three points. 3 m 5 m 2 m 0 2 m 3 m B 3 m 3 m Figure 1: The poles in Q2(b) which the large shade sail is to be hung taughtly between. c) A tunnel is being constructed through a mountain range where the tunnel is being constructed from both ends at the same time. One end of tunnel starts at the point A (80, -287,…
If a line is parallel to the vector 6?+6?+9?6i+6j+9k and passes through the point ?=(3,2,1)P=(3,2,1), then the parametric equation of the line is : a. X=3+ 6λ, Y= 2+ 6λ, Z= 1+9λ b. X=-3-6λ, Y=- 2- 6λ, Z= -1-9λ c. X=3-6λ, Y= 2- 6λ, Z= 1-9λ d. X=-3+ 6λ, Y= -2+ 6λ, Z= -1+9λ
5. Find the parametric equations of the line through A (-1, 2, 3) and B (2, 2, -3). Hence find where this line meets the plane with equation: х — 2у+ 3z 3 26
5. Give the equation of the line passing through the point (-2,3,-3) and is parallel to the vector (6,- 6,-2) in: i. ii. parametric form symmetric form
Find parametric equations of the line that satisfies the stated conditions. The line through (8, 5) that is parallel to 9 i-5j. O x = 8+9t, y = 5-5t O x = 8+8t, y = 5+5t O x = 8+5t, y = 9-5t O x = 9+9t, y = -5-5t O x = 9+8t, y = -5+5t
Consider the points (1, 2,- 1) and (2, 0, 3). a. Find a vector equation of the line through these points in parametric form. b. Find the distance between this line and the point (1, 0, 1).
3 4 33. Determine the vector equation, parametric equations, and, if possible, symmetric equation of the line that passes through the point P(1, 3, 5) and a. has direction vector (-2, -4, -10) b. also passes through the point Q(-7, 9, 3) c. is parallel to the line that passes through R(4, 8, -5) and S(-2, -5,9) d. is parallel to the .x-axis e. is perpendicular to the line (x, y, z) = (1, 0, 5) + (-3, 4, -6) f. is perpendicular to the plane determined by the points A(4, 2, 1), 4 2), and C(-3, 2, 1) nd 59 nsv of -3 of the plane that

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If a line is parallel to the vector 3i +2j+ 1k and passes through the point P = (1,3,8), then the parametric equation of the line is O a. X=1-3A, Y= 3-21, Z= 8-1A O b. X=-1+ 31, Y= -3+ 22, Z= -8+1A c. X-1+ 31, Y= 3+ 2A, Z= 8+12 O d. X=-1-31, Y=- 3- 21, Z= -8-1A