In Triangle ABC, which of the following is not true:

(a) AB + BC + CA = 0
(b) AB + BC - AC = 0
(c) AB + BC - CA = 0
(d) AB - CB + CA = 0

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Solution

By triangle law of vector addition,

AB + BC = AC or AB + BC = - CA
Hence, the equation given in alternative (c) is incorrect.

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