Use the database matrix Q from Application 1 and search for the key words orthogonality, spaces, vector,

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Use the database matrix Q from Application 1 and search for the key words orthogonality, spaces, vector, only this time give the key word orthogonality twice the weight of the other two key words. Which of the eight modules best matches the search criteria? [Form the search vector using the weights 2, 1, 1 in the rows corresponding to the search words and then scale the vector to make it a unit vector.]
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