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Question
ABCDEF be a regular hexagon and let O be its center. If forces →AB, →AC, →AD,→AE,→AF act at a point then their resultant is
ABCDEF be a regular hexagon and let O be its center. If forces →AB, →AC, →AD,→AE,→AF act at a point then their resultant is
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Solution
The correct options are
B
3→AD
C
6→OA
−−→AC=−−→AB+−−→BC
−−→AE=−−→AB+−−→BC+−−→CD+−−→DE
→R=−−→AB+−−→AC+−−→AD+−−→AE+−−→AF
=−−→AB+−−→AD+−−→DC+−−→AD+−−→AD+−−→DE+−−→AF
=−−→AB+3−−→AD+−−→DC−−−→AB−−−→DC
→R=3−−→AD
B 3→AD
C 6→OA
−−→AC=−−→AB+−−→BC
−−→AE=−−→AB+−−→BC+−−→CD+−−→DE
→R=−−→AB+−−→AC+−−→AD+−−→AE+−−→AF
=−−→AB+−−→AD+−−→DC+−−→AD+−−→AD+−−→DE+−−→AF
=−−→AB+3−−→AD+−−→DC−−−→AB−−−→DC
→R=3−−→AD
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