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If vec(a) and vec(b) are unit vectors in...

If `vec(a)` and `vec(b)` are unit vectors inclined at an angle `theta`, then prove that `sin""(theta)/(2) = (1)/(2)|hat(a) - hat(b)|`.

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Find a unit vector in direction of vec a-vec b , when vec a = 4 hat i + 7 hat j + hat k and vec b =3 hat j-11 hat k .

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