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If vec a and vec b are two unit vector...

If ` vec a` and ` vec b` are two unit vectors such that ` vec a+ vec b` and `vec a−2 vec b` are perpendicular to each other, then the angle between `vec a` and `vec b` is

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The correct Answer is:
`c to p, q`
We have `vec(OX) = sqrt3 hati +hatj and vec(OY) = hati + sqrt3hatj ` ltbgt
Hence, equation of acute angle bisection of `vec(OX) and vec(OY)` is
`y =x`
or ` x-y=0`
Now, distance of `beta hati + (1-beta)hati -= Z or (beta, 1-beta)` from `x-y=0`, is
`rArr |(beta-(1-beta))/(sqrt2)| = (3)/(sqrt2)`
`rArr |2beta -1| = 3`
`rArr 2beta-1 = pm 3`
`rArr 2 beta =4, -2`
`rArr beta =2, -1`
`rArr |beta| = 2, 1`
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