Mathematics - Algebra-Mixed Question with Solution | TestHub

Statement I: If $x,y,z\in \mathbb{R}$ and $3x+4y+5z=10\sqrt{2}$, then the least value of $x^2+y^2+z^2$ is 4. Statement II: For real $a_i,b_i,{\left({\sum }_{i=1}^3{a}_i{b}_i\right)}^2\le \left(\sum a_i^2\right)\left(\sum b_i^2\right)$.