Q2. (a) Given the line L, passes through the point (2,6, -5) and parallel to direction vector AB. Find the line equation if the coordinates of A and B are (3,7,4) and (-1,5,–4) respectively. (i) Given the line equation for L2 is (0, –3,7) + s(4,7,9). Find the shortest distance between lines L, and L2. (ii) (iii) Find the point of intersection between the line L, and the plane 2x – 7y + 4z = 80. %3D

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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Q2. (a)
Given the line L, passes through the point (2,6, -5) and parallel to direction
vector AB.
Find the line equation if the coordinates of A and B are (3,7,4) and
(-1,5,–4) respectively.
(i)
Given the line equation for L2 is (0, –3,7) + s(4,7,9). Find the shortest
distance between lines L, and L2.
(ii)
(iii) Find the point of intersection between the line L, and the plane
2x – 7y + 4z = 80.
%3D
Transcribed Image Text:Q2. (a) Given the line L, passes through the point (2,6, -5) and parallel to direction vector AB. Find the line equation if the coordinates of A and B are (3,7,4) and (-1,5,–4) respectively. (i) Given the line equation for L2 is (0, –3,7) + s(4,7,9). Find the shortest distance between lines L, and L2. (ii) (iii) Find the point of intersection between the line L, and the plane 2x – 7y + 4z = 80. %3D
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