7. The vectors a,b,c satisfy the condition
a+b+2c=7. If |āl=1,|b|= 4, |c| = 2, the
a.b +b.c +c.a =
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Step-by-step explanation:
Given a + b +c = 0 ==>a•(a + b +c) = a•0 or a•a + a•b + a•c = 0 ==> a•b + a•c =- 1 (a•a = a^2 = 1^2 = 1) . Similarly we can get a•b + c•b = -16 and a•c + b•c = -4 . Adding these three equations, we get, 2(a•b + b•c + c•a) = -1 -16 - 4 =-21 which in turn gives (a•b + b•c + c•a) = -21/2 .
hope it help you
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Answer:
1/12 apply |a+b+c|² and calculate the value by putting all the know value
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