# Keeping the distance

Algebra Level 4

$\large\left|\frac{a_{1}b_{1} + a_{2}b_{2} + ... + a_{n}b_{n}}{\sqrt{a_{1}^2 + a_{2}^2 + ... + a_{n}^2}} \right| - \sqrt{ b_{1}^2 + b_{2}^2 + ... + b_{n}^2} > 0$.

Let $$a_1,a_2,\ldots,a_n$$ and $$b_1,b_2,\ldots,b_n$$ be real numbers for which the inequality above is fulfilled. Which of the answer choices given is true?

###### See my set of Problems.
×

Problem Loading...

Note Loading...

Set Loading...