## Math Problem Statement

Suppose A= (a1,a2,a3), B = (b1,b2,b3), and C = (c1,c2,c3) are three non-colinear points. Let u, v, and w be the vectors defined as u = A to B, v = A to C, and w=B to C. Show that (u)(v) is parallel to (v)(w).

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Vectors

Cross Product

Parallel Vectors

### Formulas

Vector subtraction

Cross product formula

### Theorems

Properties of cross product

### Suitable Grade Level

Advanced High School

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