ABCDE is a pentagon.Prove that vectors AB + BC + CD + CE + DE + EA = 0
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40
Let us consider a pentagon like below,
Applying triangle rule of vector addition in the triangle ABC, we get,
Similarly applying triangle rule of vector addition in triangles ADE and ACD we get,
Therefore,
Now, let us group the above expression, so that we can compare it with the above equations.
Substituting equation (1)
= 0
Hence proved.
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Answer is given above.
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