The points A and B have position vectors such that OA = (3²) and OB = (2) The point G lies on the line such that AG = AB. Express, in the form i. vectors AB and AG; ii. the position vector OG; iii. the length of AB, to the nearest whole number.

The points A and B have position vectors such that OA = (3²) and OB = (2) The point G lies on the line such that AG = AB. Express, in the form i. vectors AB and AG; ii. the position vector OG; iii. the length of AB, to the nearest whole number.

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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Question

The points A and B have position vectors such that OA = (3²) and OB = (2)
The point G lies on the line such that AG = AB. Express, in the form
i. vectors AB and AG;
ii.
the position vector OG;
iii. the length of AB, to the nearest whole number.

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