If ABCDE is a pentagon, prove that the resultant of vector(AB, AE, BC, DC, ED) and vector AC is vector 3AC.
If ABCDE is a pentagon prove that the resultant of vector(AB AE BC DC ED) and vector AC is vector 3AC.
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Since ABCDE is a pentagon, AB + AE = AC and BC + DC = ED. Therefore, the resultant of vectors (AB, AE, BC, DC, ED) and vector AC can be written as: Resultant = AB + AE + AC + BC + DC + ED = AC + AC + AC = 3AC Therefore, the resultant of vectors (AB, AE, BC, DC, ED) and vector AC is vector 3AC.
