Suppose that A, B and C are the corner points of the thin triangular plate of constant density as show at right. a. Find the vector from C to the midpoint M of side AB. b. Find the vector from C to the point that lies two-thirds of the way from C to M on the median CM. Find the coordinates of the point in which the medians of A ABC intersect. You have just found the plate's center of mass. C.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 31E
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Suppose that A, B and C are the corner points of the thin triangular
plate of constant density as show at right.
a. Find the vector from C to the midpoint M of side AB.
b.
Find the vector from C to the point that lies two-thirds of the
way from C to M on the median CM.
Find the coordinates of the point in which the medians of A ABC
intersect. You have just found the plate's center of mass.
c.
C.
Transcribed Image Text:Suppose that A, B and C are the corner points of the thin triangular plate of constant density as show at right. a. Find the vector from C to the midpoint M of side AB. b. Find the vector from C to the point that lies two-thirds of the way from C to M on the median CM. Find the coordinates of the point in which the medians of A ABC intersect. You have just found the plate's center of mass. c. C.
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