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*s*for which the two vectors

b=[tex]\hat{x}[/tex]+s[tex]\hat{y}[/tex] and c=[tex]\hat{x}[/tex]-s[tex]\hat{y}[/tex]

are orthogonal.

I understand that for the two vecotrs to be perpindicular their dot product must be 0. however im confused how to go about this problem as there are unit vectors.

Any ideas are appreciated. thanks!