Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 16E
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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 pointsP and Q which divide AB internally and
externally in the ratios AP : PB = 1: 2 and AQ: QB = -2:1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0cb713cb-996f-454d-912e-eb4f185b6574%2F0c3941a1-17f8-463b-b4a8-6e20e19f1416%2Frog8ko_processed.jpeg&w=3840&q=75)
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 pointsP and Q which divide AB internally and
externally in the ratios AP : PB = 1: 2 and AQ: QB = -2:1.
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