Valid Boomerang
<p>Given an array <code>points</code> where <code>points[i] = [x<sub>i</sub>, y<sub>i</sub>]</code> represents a point on the <strong>X-Y</strong> plane, return <code>true</code> <em>if these points are a <strong>boomerang</strong></em>.</p>

<p>A <strong>boomerang</strong> is a set of three points that are <strong>all distinct</strong> and <strong>not in a straight line</strong>.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<pre><strong>Input:</strong> points = [[1,1],[2,3],[3,2]]
<strong>Output:</strong> true
</pre><p><strong class="example">Example 2:</strong></p>
<pre><strong>Input:</strong> points = [[1,1],[2,2],[3,3]]
<strong>Output:</strong> false
</pre>
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>points.length == 3</code></li>
	<li><code>points[i].length == 2</code></li>
	<li><code>0 &lt;= x<sub>i</sub>, y<sub>i</sub> &lt;= 100</code></li>
</ul>
Geometry; Array; Math
class Solution {
public:
    bool isBoomerang(vector<vector<int>>& points) {
        int x1 = points[0][0], y1 = points[0][1];
        int x2 = points[1][0], y2 = points[1][1];
        int x3 = points[2][0], y3 = points[2][1];
        return (y2 - y1) * (x3 - x2) != (y3 - y2) * (x2 - x1);
    }
};