5. State the Cauchy-Schwarz inequality in 611ca17800dda.jpg. Applying the inequal- ity to show 9 ≤ (a+b+c)611ca170ed618.jpg for all positive real numbers a, b, c, and also x + 2y + 3z ≤ √14 on the sphere x2 + y2 + z2 = 1.