ABCDEF is a regular hexagon. Express the vectors AC,AD,AE and AF in terms of AB and BC.
ABCDEF is a regular hexagon. Express the vectors AC,AD,AE and AF in terms of AB and BC.
SUMIT SINGH , 8 Years ago
Grade 12
Vectors> ABCDEF is a regular hexagon. Express the ...
1 Answers
Arun
Dear Sumit
here , given AB =a
BC =b (here a and b are vectors)
EF=-b
DE=-a
and we know that 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
BC =b (here a and b are vectors)
EF=-b
DE=-a
and we know that 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
Regards
Arun (askIITians forum expert)
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