Final answer:
Option D. The representation L denotes a line, which is option (c). In physics, forces are typically represented as vectors in a free-body diagram. Also, the vector product of two vectors results in a vector that is perpendicular to the plane containing the original vectors.
Step-by-step explanation:
The line L = ⟨4,5,−1,4−5⟩ can be represented as a vector. A vector is a quantity that has both magnitude and direction. In this case, the vector represents a straight line with a direction and a specific magnitude.
The line L=⟨4,5,−1,4−5⟩ represents a line in a plane or three-dimensional space, depending on the context. This is because it has both a direction and a magnitude, which are characteristic of a line. Therefore, the correct answer is c) L is a line.
In physics, especially when discussing forces, a vector is often used to represent an object in a free-body diagram, which describes the magnitude and direction of forces acting on it. Thus, the answer to the related question would be c) A vector.
If you need to find the direction of a vector product, it will be perpendicular to the plane containing the two original vectors. This means for vectors A and B, their vector product A x B will form a vector C that is perpendicular to both A and B.