Mathematics

Mathematics

Problem

Let a\mathbf{a} , b\mathbf{b} and c\mathbf{c} be vectors with magnitudes 3, 4 and 5, respectively and a+b+c=0\mathbf{a} + \mathbf{b} + \mathbf{c} = 0 , then the values of a⋅b+b⋅c+c⋅a\mathbf{a} \cdot \mathbf{b} + \mathbf{b} \cdot \mathbf{c} + \mathbf{c} \cdot \mathbf{a} is a. 47 b. 25 c. 50 d. -25

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