Statement-Two vectors a and b are parallel and have same magnitude then they are equal.... I'm wondering that parallel doesn't make us sure that they are in the same direction so then a vector=-b vector. So they aren't equal according to the statement unless they are in the same direction. Pls explain.

Two vectors are called equal if their magnitude and direction are same.
the statement "Two vectors a and b are parallel and have same magnitude then they are equal" is not a correct statement.
because a parallel vector could be both in same or in equal directions.

 

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parallel vector does not say whether is parallel or not but it can be clear from their representation
let a anb b be two vector
vector a =vector b, it tells that they are equal in magnitude and are in same direction
vector a = - vector b, it tells that they are equal in magnitude but since they have negative sign therefore they are anti parallel
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What are you looking for?