Can scalar product be ever negative ?

Explanation

To determine whether a scalar product can be negative, we can analyze the scalar (dot) product of two vectors mathematically. Here’s a step-by-step solution:

### Step 1: Understand the Scalar Product Definition
The scalar product (or dot product) of two vectors **A** and **B** is defined as:
\[ \mathbf{A} \cdot \mathbf{B} = |\mathbf{A}| |\mathbf{B}| \cos \theta \]
where \( |\mathbf{A}| \) and \( |\mathbf{B}| \) are the magnitudes (lengths) of the vectors, and \( \theta \) is the angle between the two vectors.
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