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If vector (hata+ 2hatb) is perpendicular...

If vector `(hata+ 2hatb)` is perpendicular to vector `(5hata-4hatb)`, then find the angle between `hata and hatb`.

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`because (hata+2hatb)^^(5hata-4hatb)therefore(hata+2hatb).(5hata-4hatb)=0implies5hata.hata-4hata.hatb+10hatb.hata-8hatb.hatb=0`
`implies 5+6hata.hatb-8=0implies6hata.hatb=3implieshata.hatb=(1)/(2)impliescosq=(1)/(2)impliesq=60^(@)`
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