Answer: Vector product.

## Explanation The correct answer is **B) Vector product** (also known as cross product). ### Why this is correct: 1. **Vector product (cross product)** of two vectors produces a third vector that is perpendicular to both original vectors. 2. In a 3D coordinate system, if you have orthogonal unit vectors for X and Y axes, the cross product of X × Y gives you the Z axis vector. 3. This follows the right-hand rule convention for coordinate systems. ### Why other options are incorrect: - **A) Scalar product**: Produces a scalar value, not a vector. - **C) Normalization**: Converts a vector to unit length but doesn't change its direction. - **D) Translation**: Moves points or vectors in space but doesn't create perpendicular vectors. - **E) Projection**: Finds the component of one vector along another vector's direction. ### Mathematical Context: In linear algebra and 3D geometry, the cross product is specifically designed to find a vector perpendicular to two given vectors. For orthogonal unit vectors \(\hat{i}\) (X-axis) and \(\hat{j}\) (Y-axis), \(\hat{i} \times \hat{j} = \hat{k}\) (Z-axis).

Author: Danyel Barboza