Question

Two vectors are said to be equal only if they have the same magnitude and :
(A) Same Length
(B) Same direction
(C) Same Sign
(D) None

Answer 1

Hint : Vectors are the objects that have both magnitude as well as a direction. If two vectors are said to be the same then they should have equal magnitude and equal direction .

Complete Step By Step Answer:
When the two vectors are equal both their directions must be equal and since it is given in the question that magnitude is same we can write that b) will be the correct answer of the following question. The other options are not correct for the reason that since the same length vector may have different directions which will render them unequal to each other. The other option about signs is also not correct because even though two vectors may have the same sign and magnitude they can have different positional vectors which will again render them to be unequal to each other.

Note :
The vectors are normally associated with the quantities or entities where direction is also important. For example when we define the velocity of the object we have to also define in which direction is the object travelling so in that case we can tell that velocity is a vector quantity, the vectors are extensively used in physics to define both the magnitude attribute and the direction attribute of a quantity. . The direction in the vectors are given by positional vectors $\widehat i,\widehat j$ in the two dimensional plane.