A tunnel is to be dug through a mountain in order to link two cities. Digging at
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Question:
A tunnel is to be dug through a mountain in order to link two cities.
Digging at one end of the tunnel begins at the point with coordinates (-3,-3,9) and continues in the direction 2 i + 2 j - k .
The digging at the other end of the tunnel starts at the point with coordinates (-19,-7,-3) and continues in the direction 6 i + 3 j + 2 k .
Both sections are assumed to be straight lines.
The coordinates are measured relative to a fixed origin O, where one unit is 50 meters.
(i) Show that the two sections of the tunnel will eventually meet at a point P, and find the coordinates of this point.
(ii) Find the total length of the tunnel.
Related Book For
Fundamentals of Physics
ISBN: 978-0471758013
8th Extended edition
Authors: Jearl Walker, Halliday Resnick
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