Question: Problem 3 The argument that follows proves that if u, u and w are vectors in a vector space V such that u + w

Problem 3 The argument that follows proves that if u, u and w are vectors in a vector space V such that u + w = v + w, then u = U (the cancellation law for vector addition). As illustrated, justify the steps by filling in the blanks. 2 + W U+ W Hypothesis ( 2 + 2 ) + ( - 2 ) ( 8 + 2 ) + ( - 2 ) Add - w to both sides. u + w + ( -w ) ] = U + [ w + ( - w ) ] . . u +0

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