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If (a+b). (a-b) = 8 and |a| = 8 |b|, then the values of |a| and |b| are |
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Answer» `(16)/(3)sqrt((2)/(7)), (2)/(3)sqrt((2)/(7))` `implies a.a-a.b+b.a-b.b=8` `implies |a|^(2)-|b|^(2)=8[ :' a.a=|a|^(2)and a.b=b.a]` `implies (8|b|)^(2)-|b|^(2)=8` `= 63|b|^(2)=8` `implies |b|= sqrt((8)/(63))=(2)/(3) sqrt((2)/(7))` Also ,`|a|=8|b|=8((2)/(3)sqrt((2)/(7)))=(16)/(3)sqrt((2)/(7))` |
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