Explanation:

Understanding the Dot Product:
- The dot product of two vectors, denoted as p · q, is a scalar quantity calculated by multiplying the magnitudes of the two vectors and the cosine of the angle between them.
- Mathematically, p · q = |p| * |q| * cos(θ), where θ is the angle between the two vectors.

Given Condition: p · q = 0
- When the dot product of two vectors is zero, it indicates that the vectors are perpendicular to each other.
- In other words, the angle between the vectors is 90 degrees.

Calculating the Magnitude:
- The magnitude of the cross product of two vectors, denoted as |p x q|, is equal to the product of the magnitudes of the two vectors times the sine of the angle between them.
- Since the vectors p and q are perpendicular (θ = 90 degrees), the magnitude of p x q simplifies to |p| * |q|.

Conclusion: Magnitude of p x q
- Therefore, in this case where p · q = 0, the magnitude of p x q is simply the product of the magnitudes of the two vectors, i.e., |p| * |q|.
- The magnitude of the cross product of perpendicular vectors is equal to the product of their magnitudes.

All real values because dot product of 2 vectors is 0 if they are perpendicular to each other i.e cos90= 0.