Which of the following describes vectors that are equal but opposite?

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Equal but opposite vectors are defined as vectors that have the same magnitude but point in opposite directions. This means that when they are combined, their effects negate each other, resulting in a net vector of zero. This is the fundamental property of vectors that are equal in size but opposite in direction.

In practical scenarios, such as physics and engineering, two equal but opposite forces acting on an object will lead to a state of equilibrium. For example, if one vector has a force of 5 Newtons in one direction and another vector has a force of 5 Newtons in the opposite direction, the two will cancel each other out completely, and the object will not move.

Coupled vectors imply a relationship where they work together rather than against each other, which does not accurately describe the nature of equal but opposite vectors. Amplifying vectors would indicate that they work in the same direction to increase the overall effect, which is contrary to the definition given. Similarly, vectors that rotate in opposition would describe a different type of interaction involving rotation rather than mere opposition in direction. Thus, the answer focusing on the cancellation of effects accurately captures the meaning of equal but opposite vectors.

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