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If two points A and B lie on the curve y...

If two points A and B lie on the curve `y=x^(2)` such that `vec(OA).hati=1 and vec(OB).hatj=4`, where O is origin and A and B lie in the `1^("st")` and `2^("nd")` quadrant respectively, then `vec(OA).vec(OB)` is equal to

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