a. Calculate the distance AB. b. The section BC is to be drilled in the direction of the vector 31+4j+k. Find the angle between the sections AB and BC. c. The section of pipe reaches ground level at the point (a, b, 0). Write down a vector equation of the line BC. Hence find a and b.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Help with Part 4
Scenario 2
A pipeline is to be fitted under a road and can be represented on 3D Cartesian axes as below, with the x-axis
pointing East, the y-axis North, and the z-axis vertical. The pipeline is to consist of a straight section AB directly
under the road, and another straight section BC connected to the first. All lengths are in metres.
Part 4:
a. Calculate the distance AB.
A (0, -40, 0)
(N)
C (a, b, 0)
B (40, 0, -20)
b. The section BC is to be drilled in the direction of the vector 3i+4j+k.
Find the angle between the sections AB and BC.
c. The section of pipe reaches ground level at the point (a, b, 0).
Write down a vector equation of the line BC. Hence find a and b.
x (E)
Transcribed Image Text:Scenario 2 A pipeline is to be fitted under a road and can be represented on 3D Cartesian axes as below, with the x-axis pointing East, the y-axis North, and the z-axis vertical. The pipeline is to consist of a straight section AB directly under the road, and another straight section BC connected to the first. All lengths are in metres. Part 4: a. Calculate the distance AB. A (0, -40, 0) (N) C (a, b, 0) B (40, 0, -20) b. The section BC is to be drilled in the direction of the vector 3i+4j+k. Find the angle between the sections AB and BC. c. The section of pipe reaches ground level at the point (a, b, 0). Write down a vector equation of the line BC. Hence find a and b. x (E)
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