A vector is a mathematical object that has both magnitude (size or length) and direction. It can be represented graphically as an arrow.
A vector is unique because it has specific values for both magnitude and direction, and these values cannot be changed without altering the vector itself.
No, two vectors cannot have the same magnitude and direction and still be considered unique. Even if they appear identical, they are still separate entities with their own distinct properties.
In science, vectors are used to represent physical quantities such as force, velocity, and acceleration. The uniqueness of a vector allows us to accurately describe and analyze these quantities in various situations, leading to a better understanding of the physical world.
Yes, when two vectors are added together, the resulting vector will have its own unique magnitude and direction, making it a unique vector.