If two vectors are represented by the two sides of a triangle , then show that half the magnitude of their cross product will give the area of the triangle .

Explanation

To show that half the magnitude of the cross product of two vectors gives the area of a triangle formed by those vectors, we can follow these steps:

### Step 1: Define the Triangle
Consider a triangle with vertices A, B, and C. Let the vectors **A** and **B** represent two sides of the triangle originating from the same vertex (let's say vertex A).

### Step 2: Identify the Angle
Let the angle between the two vectors **A** and **B** be θ.

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