## Math Problem Statement

Determine whether the given vectors are orthogonal, parallel, or neither. a=<-5,3,7>, b=<6,-8,2>

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Vector Algebra

Dot Product

Vector Parallelism

### Formulas

Dot product: a · b = a1*b1 + a2*b2 + a3*b3

Parallelism: a1/b1 = a2/b2 = a3/b3

### Theorems

Conditions for orthogonality (dot product equals zero)

Conditions for parallelism (scalar multiples)

### Suitable Grade Level

Grades 10-12

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