Prove that the scalar product of two or thogonal vectors is zero .

Explanation

To prove that the scalar product (or dot product) of two orthogonal vectors is zero, we can follow these steps:

### Step 1: Define Orthogonal Vectors
Two vectors are said to be orthogonal if they are perpendicular to each other. This means that the angle \( \theta \) between them is \( 90^\circ \).

### Step 2: Write the Formula for Scalar Product
The scalar product (or dot product) of two vectors \( \mathbf{A} \) and \( \mathbf{B} \) is given by the formula:
\[
...