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Question

ABCDEF are the vertices of a regular hexagon.AB=a,BC=b, then the vectors of ¯¯¯¯¯¯¯¯AE and ¯¯¯¯¯¯¯¯EF are

A
ab,a
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B
ba,a
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C
2ba,b
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D
ab,b
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Solution

The correct option is B 2ba,b
AE=AB+BC+CD+DE
=a+b+baa
=2ba
EF||BC
EF=BC
EF=b
EF=Kb (as AD||BC)
|AD|=2b (as|a|=|b| regulor hexogon)
AD=AB+BC+CD
CD=ba
55657_35131_ans.bmp

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