A cable car is to be built up the side of a hill. The coordinates of the bottom end of the cable are A(1,3,2), while the coordinates of the top end of the cable are B(5,3, 26). A tower is to be placed at P, 1/4 of the way from the bottom of the cable. Find the coordinates of the point on the cable where the tower will be placed.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
A cable car is to be built up the side of a hill. The coordinates of the bottom end of the cable
are A(1,3,2), while the coordinates of the top end of the cable are B(5,3, 26). A tower is to
be placed at P, 1/4 of the way from the bottom of the cable. Find the coordinates of the
point on the cable where the tower will be placed.
Transcribed Image Text:A cable car is to be built up the side of a hill. The coordinates of the bottom end of the cable are A(1,3,2), while the coordinates of the top end of the cable are B(5,3, 26). A tower is to be placed at P, 1/4 of the way from the bottom of the cable. Find the coordinates of the point on the cable where the tower will be placed.
Expert Solution
Step 1

Given, a cable car is to be built on the side of a hill.

Assume, the Co-ordinates of bottom end of cable car is A(1,3,2) as x1,y1,z1

and top end of cable car is B(5,3,26) as x2,y2,z2

A tower is to be placed at P, 14 the way from the bottom of the cable.

Let the co-ordinates of P be (x,y,z) 

 

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