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Question

Explain vector with the help of examples.


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Solution

Vectors:

  1. There are quantities in science characterized by both magnitude and direction, such as displacement, velocity, force, and acceleration.
  2. To describe such quantities, we introduce the concept of a vector as a directed line segment PQ from one point P to another point Q.
  3. Here P is called the initial point or origin of PQ, and Q is called the terminal point, end, or terminus of the vector.
  4. We denote a vector quantity by letters with an arrow over them.
  5. The magnitude or length of the vector is then denoted by PQ.
  6. Two vectors are equal if they have the same magnitude and direction regardless of their initial points.
  7. A vector having a direction opposite to that of a given vector A but having the same magnitude is denoted by -A.


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