1.

If a and b are unit vectors, then what is the angle between a and b for sqrt3a-b to be a unit vector?

Answer»

`30^(@)`
`45^(@)`
`60^(@)`
`90^(@)`

Solution :We have, `(sqrt(3)a-B)^(2)+3A^(2)+b^(2)-2sqrt(3)a.b`
`implies a.b =sqrt(3)/2 implies cos THETA=sqrt(3)/2 implies theta = 30^(@)`


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