The points D, E and F divide the sides BC, CA and AB of a triangle in the ratios 1:4, 3:2 and 3:7 respectively. Show that there exists a point G such that the sum of the vectors AD, BE, CF is parallel to CG. What ratio does G divide AB?
The points D, E and F divide the sides BC, CA and AB of a triangle in the ratios 1:4, 3:2 and 3:7 respectively. Show that there exists a point G such that the sum of the vectors AD, BE, CF is parallel to CG. What ratio does G divide AB?
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter2: Right Triangle Trigonometry
Section2.5: Vectors: A Geometric Approach
Problem 57PS
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![5. The points D, E and F divide the sides BC, CA and AB of a triangle in the ratios
1:4, 3:2 and 3:7 respectively. Show that there exists a point G such that the sum
of the vectors AD, BE, CF is parallel to CG. What ratio does G divide AB?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff45f0b8f-cf8c-43cf-8893-fdde4460b96c%2F41aa1048-c7b7-4f72-b44b-b542eb39c7c9%2Fmfjwwgt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. The points D, E and F divide the sides BC, CA and AB of a triangle in the ratios
1:4, 3:2 and 3:7 respectively. Show that there exists a point G such that the sum
of the vectors AD, BE, CF is parallel to CG. What ratio does G divide AB?
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