It is simply a vector whose magnitude is 1.

It is simply a vector whose magnitude is 1.

• A. Vector Unity
• B. Moment Vector
• C. Tensor
• D. Unit Vector

Answer: (D)

The main idea here is a unit vector: a vector whose length is exactly one. It carries direction information without any attached magnitude. If you have any nonzero vector, you can get its unit vector by dividing by its length, v̂ = v / |v|. For example, a vector (3, 4) has length 5, so its unit vector in the same direction is (3/5, 4/5). This concept is handy when you want to specify a direction independently of how long the vector is. Other terms don’t fit this specific meaning. A moment vector (torque) has a magnitude that depends on force and lever arm and is not constrained to be 1. A tensor is a broader mathematical object, not just a single direction with unit length. The phrase “Vector Unity” isn’t the standard terminology; the precise term is unit vector.

The main idea here is a unit vector: a vector whose length is exactly one. It carries direction information without any attached magnitude. If you have any nonzero vector, you can get its unit vector by dividing by its length, v̂ = v / |v|. For example, a vector (3, 4) has length 5, so its unit vector in the same direction is (3/5, 4/5). This concept is handy when you want to specify a direction independently of how long the vector is.

Other terms don’t fit this specific meaning. A moment vector (torque) has a magnitude that depends on force and lever arm and is not constrained to be 1. A tensor is a broader mathematical object, not just a single direction with unit length. The phrase “Vector Unity” isn’t the standard terminology; the precise term is unit vector.