Question

answer me buddies and how​

Answer 1

Explanation:

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

Perpendicular Vectors

Two vectors A and B are perpendicular if and only if their scalar product is equal to zero.

Let A = (Ax , Ay) and B = (Bx , By)

Vectors A and B are perpendicular if and only if A·B = 0

(Ax , Ay) · (Bx , By) = Ax Bx + Ay By

Hence vectors A and B are perpendicular if and only if

Ax Bx + Ay By = 0