If a → , b → , c → are vectors such that a → + b → + c → = 0 and  …

If a,b,c are vectors such that a+b+c=0 and  a=7, b=5, c=3 then angle between vector b and  c is
  1. 60°    
  2. 30°
  3. 45°
  4. 90°

Solution

Given  a+b+c=0

b+c=-a
 
b+c2=-a2

b2+c2+2b·c=a2

Let M be the angle between b and c
 
25+9+2*5*3 cosM = 49
⇒  cosM=12

M=60°

Asked in: AP EAMCET 2022 (04 Jul Shift 2)

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