8 With respect to the origin O, the position vectors of the points A, B, C and D are given by () OB = and OD = (a) Show that AB = 2CD. (b) Find the angle between the directions of AB and CD. (c) Show that the line through A and B does not intersect the line through C and D.

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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8 With respect to the origin 0, the position vectors of the points A, B, C and D are given by
()
OA =
OB
and OD = 2
(a) Show that AB = 2CD.
(b) Find the angle between the directions of AB and CD.
(c) Show that the line through A and B does not intersect the line through C and D.
Transcribed Image Text:8 With respect to the origin 0, the position vectors of the points A, B, C and D are given by () OA = OB and OD = 2 (a) Show that AB = 2CD. (b) Find the angle between the directions of AB and CD. (c) Show that the line through A and B does not intersect the line through C and D.
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