Excuse me, could you clarify the distinction between a tensor and a vector for me? I understand that they are both mathematical objects used in various fields, but I'm struggling to grasp the fundamental differences.
As I understand it, a vector is a mathematical entity that has both magnitude and direction, and it's often used to represent physical quantities like force or velocity. However, I'm unsure how a tensor differs from this.
Could you elaborate on the key properties of tensors and how they contrast with vectors? Perhaps you could provide some real-world examples to help me grasp the concept better? I'd really appreciate your insight into this matter.