Three vectors a¯,b¯,c¯ satisfy the condition a¯+b¯+c¯=0¯. Ifa¯=1,b¯=3,c¯=4 then a¯.b¯+b¯.c¯+c¯.a¯=

a¯+b¯+c¯2=a¯2+b¯2+c¯2+2a¯.b¯+b¯.c¯+c¯.a¯ ∴ a¯.b¯+b¯.c¯+c¯.a¯=−13

Three vectors a¯,b¯,c¯ satisfy the condition a¯+b¯+c¯=0¯. Ifa¯=1,b¯=3,c¯=4 then a¯.b¯+b¯.c¯+c¯.a¯=

a¯+b¯+c¯2=a¯2+b¯2+c¯2+2a¯.b¯+b¯.c¯+c¯.a¯ ∴ a¯.b¯+b¯.c¯+c¯.a¯=−13

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Three vectors $\bar{a}, \bar{b}, \bar{c}$ satisfy the condition $\bar{a} + \bar{b} + \bar{c} = \bar{0} .$ If $|\bar{a}| = 1, |\bar{b}| = 3, |\bar{c}| = 4$ then $\bar{a} . \bar{b} + \bar{b} . \bar{c} + \bar{c} . \bar{a} =$

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${(\bar{a} + \bar{b} + \bar{c})}^{2} = {|\bar{a}|}^{2} + {|\bar{b}|}^{2} + {|\bar{c}|}^{2} + 2 (\bar{a} . \bar{b} + \bar{b} . \bar{c} + \bar{c} . \bar{a}) ∴ \bar{a} . \bar{b} + \bar{b} . \bar{c} + \bar{c} . \bar{a} = - 13$

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Three vectors a¯,b¯,c¯ satisfy the condition a¯+b¯+c¯=0¯. Ifa¯=1,b¯=3,c¯=4 then a¯.b¯+b¯.c¯+c¯.a¯=

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Three vectors $\bar{a}, \bar{b}, \bar{c}$ satisfy the condition $\bar{a} + \bar{b} + \bar{c} = \bar{0} .$ If $|\bar{a}| = 1, |\bar{b}| = 3, |\bar{c}| = 4$ then $\bar{a} . \bar{b} + \bar{b} . \bar{c} + \bar{c} . \bar{a} =$