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What are parallel vectors​

Answer»

Parallel VECTORS  

Two vectors A and B are parallel if and only if they are scalar multiples of ONE another.  

A = k B , k is a constant not equal to zero.  

Let A = (AX , Ay) and B = (Bx , By)  

A and B are parallel if and only if A = k B

(Ax , Ay) = k (Bx , By) = (k Ax , k By)  

Ax = k Bx and Ay = k By or Ax / Bx = k and Ay / By = k  

Condition under which vectors A = (Ax , Ay) and B = (Bx , By) are parallel is given by  

Ax / Bx = Ay / By or Ax By = Bx Ay



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