Final answer:
A vector with all components equal to 1 is not a unit vector unless normalized; a unit vector must have a magnitude of 1.
Step-by-step explanation:
If all the components of a vector are equal to 1, the vector is not necessarily a unit vector. A unit vector is defined as a vector that has a magnitude of 1. The magnitude of a vector with components (1, 1, 1) would be calculated by taking the square root of the sum of the squares of its components, which results in √(12 + 12 + 12) = √3, which is not equal to 1. Therefore, such a vector is not a unit vector unless it is normalized by dividing each component by its magnitude, √3.