Question

What are equal vectors?
A.Two or more vectors are said to be equal if they are parallel to the same line irrespective of their magnitude and directions.
B.Two vectors are said to be equal if they have the same magnitude and direction regardless of the positions of their initial points.
C.Two vectors are said to be equal if they have the same magnitude and direction, also the same position of their initial points.
D.None of the above

Answer 1

Hint: Mathematics includes the study of topics which are related to quantity structure , space and change. The above problem is related to vectors. To solve the problem, we must have a strong concept of understanding equal vectors.

Complete step-by-step answer:
Vectors are represented by directed line segments such that the length of the line segment is the magnitude of the vector and the direction of arrow mark at one end emphasizes the direction of the vector. A vector, denoted by \[\overrightarrow{PQ}\], is determined by two points P and Q such that the magnitude of vector is the length of straight line PQ and its direction is that from P to Q.
Equal vectors are defined as two vectors having the same magnitude and direction. They may or may not have the same initial point.
Therefore, option (b) is correct.

Note: Students must remember that equal vectors have a specified definition. It has no proof so it must be remembered for the sake of solving this problem. So, there should be no confusion about the concept which may lead to error.