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question mark

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 ?

Aby Alex , 16 Years ago
Grade 12
anser 3 Answers
Badiuddin askIITians.ismu Expert

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

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Last Activity: 16 Years ago
Aby Alex

Thank u very much

Last Activity: 16 Years ago
Kushagra Madhukar
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
Last Activity: 5 Years ago
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