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TS EAMCET · Maths · Vector Algebra

Three vectors a, b and c satisfy a+b+c=0. If a=3,b=4, c=2, then a.b+b·c+c.a+2(|a|+|b|+|c|)=

  1. A -72
  2. B 72
  3. C -112
  4. D 112
Verified Solution

Answer & Solution

Correct Answer

(B) 72

Step-by-step Solution

Detailed explanation

Given, a→+b→+c→=0 ⇒a→+b→+c→2=0 ⇒a→2+b→2+c→2+2a→.b→+b→.c→+c→.a→=0 ⇒9+16+4+2a→.b→+b→.c→+c→.a→=0…