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    vector question

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    Under what condition is there a solution to the simultaneous vector equations alpha* x+ beta*y = a and x ^ y = b, for the vectors x and y in terms of given non-zero scalars alpha and beta and given non-zero vectors a and b? Find the general solution to these equations when this condition is satisfied.

    n.b[ "^" represents the cross product and "." is the dot product"]

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    This solution helps with a vector question.