Math miscellaneousHard

Question

In a parallelogram ABC, = a, = b and = c, then . has the value :

Options

A.1/2 (a2 + b2 + c2)
B.1/2 (a2 − b2 + c2)
C.1/4 (a2 + b2 − c2)
D.1/3 (b2 + c2 − a2)

Solution


, ,
∵ 


⇒  a2 + b2 + 2 = C2
⇒ a2 + b2 + 2a2 + 2
⇒ 3a2 + b2 - c2 = + 2
⇒ = (3a2 + b2 - c2)

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