I am stuck at this vector proof question and need help.
Suppose vectors a,b,c satisfy ||a|| > (1/2) + sqrt((1/4)+||c||)
and ||b|| = (||a||)^2
Prove that ||b-c|| > ||a||
Someone please help, thank you.
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You have and .
From the first inequality
I'm afraid I don't know how to continue...
But by the triangle inequality, ,
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