Find the values of x and y if the vectors 
and 
are mutually perpendicular vectors of equal magnitude.
given 
is perpendicular to 
so 
Applying, 
6 + x – y = 0
X – y = –6…(i)
Since the magnitude of both vectors are equal
(y–x) (y+x) =5
6x+6y=5…(ii)
Solving equation (i) and (ii) we get
47