# In a regular hexagon ABCDEF, if $\overrightarrow{AB}.$=$\vec{a}$ and vector BC = vector b,then express vector CD, vectorDE, vectorEF, vectorFA, vectorAC, vectorAD, vectorAF, vectorCF IN TERMS OF $\vec{a}$ AND VEC B ?

Grade:12

## 3 Answers

Badiuddin askIITians.ismu Expert
148 Points
14 years ago

Dear Aby Alex

given AB =a

BC =b      here a and b are vector

EF=-b

DE=-a

and we know thar AD=2BC

=2b

AD=AB+BC+CD

2b =a+b+CD

CD =b-a

and FA=-CD

=a-b

Ac=AB+BC

=a+b

AF=CD=b-a

and CF=2DE

=-2a

Please feel free to post as many doubts on our discussion forum as you can.
If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly.
We are all IITians and here to help you in your IIT JEE  & AIEEE preparation.

All the best.

Regards,
Askiitians Experts
Badiuddin

Aby Alex
33 Points
14 years ago

Thank u very much

Kushagra Madhukar
askIITians Faculty 628 Points
4 years ago
Dear student,
Please find the solution to the problem.

Given,
AB = a
BC = b      here a and b are vector
EF = – b
DE = – a
and we know thar AD = 2BC
=2b
AD = AB+BC+CD
2b = a+b+CD
CD = b – a
and FA = – CD
= a – b
AC = AB+BC
= a+b
AF = CD
= b – a
and CF = 2DE
= – 2a

Thanks and regards,
Kushagra

## ASK QUESTION

Get your questions answered by the expert for free