Kirill Z. answered • 09/02/14

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Since (a+βb) and (a-βb) are perpendicular, it means that (a+βb)•(a-βb)=0 or

a•a-β

^{2}*(b•b)=|a|^{2}-β^{2}*|b|^{2}=0Substituting values for |a| and |b| into the equation, we obtain:

9-25β

^{2}=0 or β=±3/5
Philip P.

09/02/14