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