Problem 9: ABCDEF is a regular hexagon. AB = = a, BC = b and FC = 2a A a B 2a F E a) Find in terms of a and b, a representation of the following vectors: FE CE i. ii. b) Knowing that CE = EX prove that that FX is parallel to CD %3D

Problem 9: ABCDEF is a regular hexagon. AB = = a, BC = b and FC = 2a A a B 2a F E a) Find in terms of a and b, a representation of the following vectors: FE CE i. ii. b) Knowing that CE = EX prove that that FX is parallel to CD %3D

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.4: The Pythagorean Theorem

Problem 14E: Determine the type of triangle represented if the lengths of its sides are: a a=1.5, b= 2 and c =...

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Concept explainers

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.

Question

Problem 9:
ABCDEF is a regular hexagon.
AB =
= a,
BC = b and FC = 2a
A a B
2a
F
E
a) Find in terms of a and b, a representation of the following vectors:
FE
CE
i.
ii.
b) Knowing that CE = EX prove that that FX is parallel to CD
%3D

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