Most Important Selected Qs for JEE AdvancedMathematicsVector Algebra

If | a |=2,| b |=3 , and | c |=4 and maximum of | a - b |^2+| b - c |^2+| c - a |^2=10 p+q where p, q 0,1,2,3, .9 then |p-q| is

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| a - b |^2+| b - c |^2+| c - a |^2=2 (a^2+b^2+c^2 )-2( a b + b c + c a )=2(4+9+16)-2( a b + b c + c a )=58-2( a b + b c + c a ) . Now ( a + b + c )^2 0 a^2+b^2+c^2 -2( a b + b c + c a ) -2( a b + b c + c a ) 29 | a - b |^2+| b - c |^2+| c - a |^2 87

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