Any Vector A is given by A = xi + yj The another vector B perpendicular to A can - Physics - Motion In A Plane

Question

Any Vector A is given by A =
xi + yj The another vector B perpendicular to
A can be written as

Ankur · Accepted Answer

Using the concept of dot product of two vectors
→A
 →B = AB cos θwhere θ is the angle between the two vectorsgiven, →A = xi^ + yj^when two vectors are perpendicular to each other, the angle (θ) between them is 900 and cos 900 = 0
and →A
 →B = AB cos 900 = 0it means that the dot product of 2 perpendicular vectors is zero
for unit vectors,i ^  j^ = j^
 k^ = k ^
 i^ =0hence, vector →B can be equal to xj^  + yk^

Any Vector A is given by A = xi + yj. The another vector B perpendicular to A can be written as