gravity of

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 47PS
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Please solve all parts correct explanation

We consider the points A (-2; 3; 4), B (6;
-5; -9) and C (7; 1; -2). Determine the
point D such that the quadrilateral ABCD
is a parallelogram then calculate
Gl and G2: centers of gravity of the
triangles ABC and ACD,
E and F: midpoints of the diagonal AC
and of the segment G1G2,
A' and B': images of A and B by the
dilation of center C and ratio -2,
Compare points E and F, as well as
vectors AB and A'B'
Transcribed Image Text:We consider the points A (-2; 3; 4), B (6; -5; -9) and C (7; 1; -2). Determine the point D such that the quadrilateral ABCD is a parallelogram then calculate Gl and G2: centers of gravity of the triangles ABC and ACD, E and F: midpoints of the diagonal AC and of the segment G1G2, A' and B': images of A and B by the dilation of center C and ratio -2, Compare points E and F, as well as vectors AB and A'B'
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