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3. The position vectors of the points A, B and C are a = 3i – j- k, b= 2i+ 2j + 7k and c= 5i +2j – 3k. Find (i) the position vector of the centroid of A, B and C. (ii) the position vectors of the points P and Q which divide AB internally and externally in the ratios AP : PB =1: 2 and AQ : QB = –2 : 1.

3. The position vectors of the points A, B and C are a = 3i – j- k, b= 2i+ 2j + 7k and c= 5i +2j – 3k. Find (i) the position vector of the centroid of A, B and C. (ii) the position vectors of the points P and Q which divide AB internally and externally in the ratios AP : PB =1: 2 and AQ : QB = –2 : 1.

Advanced Engineering Mathematics
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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3. The position vectors of the points A, B and C are a = 3i – j- k, b= 2i + 2j + 7k and c= 5i + 2j – 3k. Find (i) the position vector of the centroid of A, B and C. (ii) the position vectors of the points P and Q which divide AB internally and externally in the ratios AP : PB = 1 : 2 and AQ : QB = –2 : 1. |
Transcribed Image Text:3. The position vectors of the points A, B and C are a = 3i – j- k, b= 2i + 2j + 7k and c= 5i + 2j – 3k. Find (i) the position vector of the centroid of A, B and C. (ii) the position vectors of the points P and Q which divide AB internally and externally in the ratios AP : PB = 1 : 2 and AQ : QB = –2 : 1. |
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