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Question

If 2^i and ^j+3^j are the vectors representing sides AB and BC respectively of a regular hexagon ABCDEF. Express vectors ¯¯¯¯¯¯¯¯¯CD,¯¯¯¯¯¯¯¯¯DE,¯¯¯¯¯¯¯¯FA,¯¯¯¯¯¯¯¯AC,¯¯¯¯¯¯¯¯¯AD,¯¯¯¯¯¯¯¯AE,¯¯¯¯¯¯¯¯CE

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Solution

The required vector of given sides are-
AB=+DE=2ˆi

AC=AB+BC

=2ˆi+(1+3)ˆj

BC+DE=CD

=2ˆi+(1+3)ˆj

FA=EF+AB=BC+AB=2ˆi(1+3)ˆj

AD=AC+CD=2ˆi+(1+3)ˆj+(2ˆi)+(1+3)ˆj=2(1+3)ˆj

AE=AD+DE=2ˆi+(1+3)ˆj

CE=CD+DE=2ˆi+(1+3)ˆj2ˆi+(1+3)ˆJ
Which is the required given answer.

1148371_1199787_ans_61801e77fd1e4c9188dff750709dae24.PNG

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