Final answer:
Parallel, tangent, and coincident are terms related to vector properties in physics. Parallel vectors have the same direction, tangential acceleration is parallel to velocity, and coincident vectors are identical in both magnitude and direction.
Step-by-step explanation:
Understanding Vectors and Their Properties
The terms parallel, tangent, and coincident are related to vector properties in physics. When we mention parallel vectors, we refer to vectors that have exactly the same direction. Tangent normally relates to a linear path that just touches a curve at one point without crossing it. In the context of motion, tangential velocity or acceleration is in a direction that is tangent to the path of the motion, particularly circular motion. Coincident vectors are those that lie exactly on top of one another, having both magnitude and direction in common.
Further discussions on vectors in physics involve the use of right triangles, where the sides represent vector components. For example, a vector can be broken down into components along perpendicular axes such as north and east. This separation into perpendicular components is commonly done using trigonometric functions sine, cosine, and tangent, which are derived from right triangles. The parallelogram rule might also be mentioned, which is a geometric method of vector addition.
Understanding the behavior of vectors in different conditions, such as when they are parallel or perpendicular, is vital in physics for analyzing forces, movements, and other vector quantities.