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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 35E
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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.

 

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.
A (0, -40, 0)
y (N)
C (a, b, 0)
B (40, 0, -20)
x (E)
Transcribed Image Text: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. A (0, -40, 0) y (N) C (a, b, 0) B (40, 0, -20) x (E)
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