You need to provide a clear and detailed solution for the following Questions:Question 1 (> Consider the points A(2,-1,0), B(-3, 0, -2), and C(0, 3,-1).→(b) Find the parametric equations of the Line that passes through the point B and is perpendicular to both vectors = AB + AC andwBA+ AC.

Since A≡(2,-1,0), B≡(-3,0,-2) and C≡(0,3,-1). So AB→=-5i+j-2k, AC→=3i+4j-k and BA→=5i-j+2k. Thus…

Answered: Question 1 ( Consider the points…

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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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,…
Question 2 > Consider the point P(2,-1,-4) and the vectors a = and . (a) Find the unit vector u that has the opposite direction of a. (b) Find the plane that passes through the point P and is orthogonal to the vector 6ū - 26. (c) Find the point, if any, at which the Line with parametric equations x = -2+t, intersects the Plane found in part b). y=1-t, z = -3t
Question 2 a) b) (2,5,-1). Find the values of a,b in a+b=(3+ i)(2-3i where i=√√-1 Find the position vector with initial point (1,-1,2) and terminal point
Part B
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Question 1 ( Consider the points A(2,-1,0), B(-3, 0, -2), and C(0, 3,-1). (b) Find the parametric equations of the Line that passes through the point B and is perpendicular to both vectors = AB+ AC and wBA+AC.