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Let hata and hatb be two unit vectors. If the vectors c=hata+2hatb and d=hata-4hatb are perpendicular to each other, then the angle between hata and hatb is |
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Answer» `(pi)/(6)` `thereforec*d = 0` `RARR (hata + 2hatb)*(5 hata - 4 HATB) = 0 ` `rArr 5 hata * hata - 4 HAT a *hat b + 10 hat b * hata - 8 hatb * hatb = 0 ` ` rArr6 hata * hatb= 3 ` `rArr hata *hatb= (1)/(2)` So, the angle between `hata and hatb` is `(pi)/(3)`. |
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