## Math Problem Statement

- If a = [3, -2, -3] and b = [r, s, t] such that r2 + s2 + t2 = 88, find the maximum value of a . b.

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Vectors

Dot Product

Cauchy-Schwarz Inequality

### Formulas

Dot product formula

Cauchy-Schwarz inequality

### Theorems

Cauchy-Schwarz inequality

### Suitable Grade Level

Advanced High School

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