3. The position vectors of the points A, a = 3i – j- k, b 2i Find (i) the position vector of the centra the noir

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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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.
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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