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Q.

If a,b and c are vectors with magnitudes 2, 3 and 4 respectively than the best upper bound of |a-b|2+|b-c|2+|c-a|2  among the given values is

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a

90

b

87

c

93

d

97

answer is C.

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Detailed Solution

a=2    b=3    c=4 a-b2+b-c2+c-a2 =4+9-2a.b+9+16-2b.c+4+16-2a.c =58-(-4-9-16)87

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